Weighted spaces of vector-valued functions and the ε-product

We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to d...
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Autor*in:	Kruse, Karsten - 1984- [verfasserIn]
Körperschaften:	Technische Universität Hamburg Technische Universität Hamburg, Institut für Mathematik

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Rechteinformationen:	Open Access Namensnennung 4.0 International ; CC BY 4.0

Schlagwörter:	Linearisation Semi-Montel space Vector-valued functions Weight ε-product

Anmerkung:	Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik

Übergeordnetes Werk:	Enthalten in: Banach journal of mathematical analysis - Mashhad, Iran : BMRG, 2007, 14(2020), 4, Seite 1509-1531
Übergeordnetes Werk:	volume:14 ; year:2020 ; number:4 ; pages:1509-1531

Links:	Link aufrufen Link aufrufen Link aufrufen Link aufrufen

DOI / URN:	urn:nbn:de:gbv:830-882.0106797 10.15480/882.2930 10.1007/s43037-020-00072-z

Katalog-ID:	1734252650

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topic_facet	Linearisation Semi-Montel space Vector-valued functions Weight ε-product
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topic_title	510: Mathematik Weighted spaces of vector-valued functions and the ε-product Karsten Kruse Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace
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title_full	Weighted spaces of vector-valued functions and the ε-product Karsten Kruse
author_sort	Kruse, Karsten 1984-
journal	Banach journal of mathematical analysis
journalStr	Banach journal of mathematical analysis
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dewey-full	510:MATHEMATIK
title_sort	weighted spaces of vector-valued functions and the ε-product
title_auth	Weighted spaces of vector-valued functions and the ε-product
abstract	We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
abstractGer	We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
abstract_unstemmed	We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik
url	http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 https://doi.org/10.15480/882.2930 http://hdl.handle.net/11420/7406 https://doi.org/10.1007/s43037-020-00072-z
author2	Technische Universität Hamburg Technische Universität Hamburg Institut für Mathematik
author2Str	Technische Universität Hamburg Technische Universität Hamburg Institut für Mathematik
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hierarchy_sort_str	2020
allfields	urn:nbn:de:gbv:830-882.0106797 urn 10.15480/882.2930 doi 10.1007/s43037-020-00072-z doi 11420/7406 hdl 1712.01613 arXiv (DE-627)1734252650 (DE-599)KXP1734252650 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut Weighted spaces of vector-valued functions and the ε-product Karsten Kruse epsilon-prodct 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2020), 4, Seite 1509-1531 Online-Ressource (DE-627)549633782 (DE-600)2395499-1 (DE-576)281357749 1735-8787 nnns volume:14 year:2020 number:4 pages:1509-1531 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 Resolving-System kostenfrei https://doi.org/10.15480/882.2930 Resolving-System kostenfrei http://hdl.handle.net/11420/7406 Resolving-System kostenfrei https://doi.org/10.1007/s43037-020-00072-z Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 14 2020 4 1509-1531 045F 510: Mathematik 23 01 0830 376439305X tubdok Elektronischer Volltext f z 01-10-20 2403 01 DE-LFER 3779834995 00 --%%-- --%%-- n --%%-- l01 14-10-20 23 01 0830 https://doi.org/10.15480/882.2930 LF 2403 01 DE-LFER https://doi.org/10.1007/s43037-020-00072-z 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 23 01 0830 tubdok 23 01 0830 tuhh
spelling	urn:nbn:de:gbv:830-882.0106797 urn 10.15480/882.2930 doi 10.1007/s43037-020-00072-z doi 11420/7406 hdl 1712.01613 arXiv (DE-627)1734252650 (DE-599)KXP1734252650 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut Weighted spaces of vector-valued functions and the ε-product Karsten Kruse epsilon-prodct 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2020), 4, Seite 1509-1531 Online-Ressource (DE-627)549633782 (DE-600)2395499-1 (DE-576)281357749 1735-8787 nnns volume:14 year:2020 number:4 pages:1509-1531 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 Resolving-System kostenfrei https://doi.org/10.15480/882.2930 Resolving-System kostenfrei http://hdl.handle.net/11420/7406 Resolving-System kostenfrei https://doi.org/10.1007/s43037-020-00072-z Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 14 2020 4 1509-1531 045F 510: Mathematik 23 01 0830 376439305X tubdok Elektronischer Volltext f z 01-10-20 2403 01 DE-LFER 3779834995 00 --%%-- --%%-- n --%%-- l01 14-10-20 23 01 0830 https://doi.org/10.15480/882.2930 LF 2403 01 DE-LFER https://doi.org/10.1007/s43037-020-00072-z 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 23 01 0830 tubdok 23 01 0830 tuhh
allfields_unstemmed	urn:nbn:de:gbv:830-882.0106797 urn 10.15480/882.2930 doi 10.1007/s43037-020-00072-z doi 11420/7406 hdl 1712.01613 arXiv (DE-627)1734252650 (DE-599)KXP1734252650 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut Weighted spaces of vector-valued functions and the ε-product Karsten Kruse epsilon-prodct 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2020), 4, Seite 1509-1531 Online-Ressource (DE-627)549633782 (DE-600)2395499-1 (DE-576)281357749 1735-8787 nnns volume:14 year:2020 number:4 pages:1509-1531 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 Resolving-System kostenfrei https://doi.org/10.15480/882.2930 Resolving-System kostenfrei http://hdl.handle.net/11420/7406 Resolving-System kostenfrei https://doi.org/10.1007/s43037-020-00072-z Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 14 2020 4 1509-1531 045F 510: Mathematik 23 01 0830 376439305X tubdok Elektronischer Volltext f z 01-10-20 2403 01 DE-LFER 3779834995 00 --%%-- --%%-- n --%%-- l01 14-10-20 23 01 0830 https://doi.org/10.15480/882.2930 LF 2403 01 DE-LFER https://doi.org/10.1007/s43037-020-00072-z 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 23 01 0830 tubdok 23 01 0830 tuhh
allfieldsGer	urn:nbn:de:gbv:830-882.0106797 urn 10.15480/882.2930 doi 10.1007/s43037-020-00072-z doi 11420/7406 hdl 1712.01613 arXiv (DE-627)1734252650 (DE-599)KXP1734252650 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut Weighted spaces of vector-valued functions and the ε-product Karsten Kruse epsilon-prodct 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2020), 4, Seite 1509-1531 Online-Ressource (DE-627)549633782 (DE-600)2395499-1 (DE-576)281357749 1735-8787 nnns volume:14 year:2020 number:4 pages:1509-1531 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 Resolving-System kostenfrei https://doi.org/10.15480/882.2930 Resolving-System kostenfrei http://hdl.handle.net/11420/7406 Resolving-System kostenfrei https://doi.org/10.1007/s43037-020-00072-z Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 14 2020 4 1509-1531 045F 510: Mathematik 23 01 0830 376439305X tubdok Elektronischer Volltext f z 01-10-20 2403 01 DE-LFER 3779834995 00 --%%-- --%%-- n --%%-- l01 14-10-20 23 01 0830 https://doi.org/10.15480/882.2930 LF 2403 01 DE-LFER https://doi.org/10.1007/s43037-020-00072-z 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 23 01 0830 tubdok 23 01 0830 tuhh
allfieldsSound	urn:nbn:de:gbv:830-882.0106797 urn 10.15480/882.2930 doi 10.1007/s43037-020-00072-z doi 11420/7406 hdl 1712.01613 arXiv (DE-627)1734252650 (DE-599)KXP1734252650 DE-627 ger DE-627 rda eng 510: Mathematik Kruse, Karsten 1984- verfasserin (DE-588)1055972765 (DE-627)79299843X (DE-576)411984411 aut Weighted spaces of vector-valued functions and the ε-product Karsten Kruse epsilon-prodct 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Sonstige Körperschaft: Technische Universität Hamburg Sonstige Körperschaft: Technische Universität Hamburg, Institut für Mathematik DE-830 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 We introduce a new class FV(Ω , E) of weighted spaces of functions on a set Ω with values in a locally convex Hausdorff space E which covers many classical spaces of vector-valued functions like continuous, smooth, holomorphic or harmonic functions. Then we exploit the construction of FV(Ω , E) to derive sufficient conditions such that FV(Ω , E) can be linearised, i.e. that FV(Ω , E) is topologically isomorphic to the ε-product FV(Ω) εE where FV(Ω) : = FV(Ω , K) and K is the scalar field of E. DE-830 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product DSpace Technische Universität Hamburg (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth Technische Universität Hamburg Institut für Mathematik (DE-588)1170812678 (DE-627)1040092225 (DE-576)512657130 oth Enthalten in Banach journal of mathematical analysis Mashhad, Iran : BMRG, 2007 14(2020), 4, Seite 1509-1531 Online-Ressource (DE-627)549633782 (DE-600)2395499-1 (DE-576)281357749 1735-8787 nnns volume:14 year:2020 number:4 pages:1509-1531 http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 Resolving-System kostenfrei https://doi.org/10.15480/882.2930 Resolving-System kostenfrei http://hdl.handle.net/11420/7406 Resolving-System kostenfrei https://doi.org/10.1007/s43037-020-00072-z Resolving-System GBV_USEFLAG_U GBV_ILN_23 ISIL_DE-830 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER DSpace AR 14 2020 4 1509-1531 045F 510: Mathematik 23 01 0830 376439305X tubdok Elektronischer Volltext f z 01-10-20 2403 01 DE-LFER 3779834995 00 --%%-- --%%-- n --%%-- l01 14-10-20 23 01 0830 https://doi.org/10.15480/882.2930 LF 2403 01 DE-LFER https://doi.org/10.1007/s43037-020-00072-z 2403 01 DE-LFER http://nbn-resolving.de/urn:nbn:de:gbv:830-882.0106797 23 01 0830 tubdok 23 01 0830 tuhh
language	English
source	Enthalten in Banach journal of mathematical analysis 14(2020), 4, Seite 1509-1531 volume:14 year:2020 number:4 pages:1509-1531
sourceStr	Enthalten in Banach journal of mathematical analysis 14(2020), 4, Seite 1509-1531 volume:14 year:2020 number:4 pages:1509-1531
format_phy_str_mv	Article
institution	findex.gbv.de
selectbib_iln_str_mv	23@ 2403@01
dewey-raw	510: Mathematik
authorswithroles_txt_mv	Kruse, Karsten @@aut@@
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topic	ddc 510: Mathematik DSpace Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product
topic_unstemmed	ddc 510: Mathematik DSpace Linearisation DSpace Semi-Montel space DSpace Vector-valued functions DSpace Weight DSpace ε-product
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title	Weighted spaces of vector-valued functions and the ε-product
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title_short	Weighted spaces of vector-valued functions and the ε-product
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GND_str_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
GND_txt_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
GND_txtF_mv	Kruse, Karsten University of Technology (Hamburg) TU Hamburg Technical University (Hamburg) Université de Technologie de Hambourg Hamburg University of Technology Technische Universität Hamburg Institute of Mathematics (Hamburg) Institut E-10 Technische Universität Hamburg. Studiendekanat Elektrotechnik, Informatik und Mathematik. Institut für Mathematik Institut für Mathematik (Hamburg) Technische Universität Hamburg. Institut E-10 Technische Universität Hamburg. Institute of Mathematics Technische Universität Hamburg. Institut für Mathematik
title_alt	epsilon-prodct
doi_str	10.15480/882.2930
callnumber-a	--%%--
up_date	2024-07-04T18:05:56.397Z
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Weighted spaces of vector-valued functions and the ε-product

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