Strong Arens irregularity of Beurling algebras with a locally convex topology

Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω),...
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Autor*in:	Maghsoudi, S. [verfasserIn] Nasr-Isfahani, R. Rejali, A.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2006

Anmerkung:	© Birkhäuser Verlag, Basel 2006

Übergeordnetes Werk:	Enthalten in: Archiv der Mathematik - Birkhäuser-Verlag, 1948, 86(2006), 5 vom: Mai, Seite 437-448
Übergeordnetes Werk:	volume:86 ; year:2006 ; number:5 ; month:05 ; pages:437-448

Links:	Volltext

DOI / URN:	10.1007/s00013-005-1496-6

Katalog-ID:	OLC2049228724

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allfields	10.1007/s00013-005-1496-6 doi (DE-627)OLC2049228724 (DE-He213)s00013-005-1496-6-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Maghsoudi, S. verfasserin aut Strong Arens irregularity of Beurling algebras with a locally convex topology 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2006 Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. Nasr-Isfahani, R. aut Rejali, A. aut Enthalten in Archiv der Mathematik Birkhäuser-Verlag, 1948 86(2006), 5 vom: Mai, Seite 437-448 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:86 year:2006 number:5 month:05 pages:437-448 https://doi.org/10.1007/s00013-005-1496-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 86 2006 5 05 437-448
spelling	10.1007/s00013-005-1496-6 doi (DE-627)OLC2049228724 (DE-He213)s00013-005-1496-6-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Maghsoudi, S. verfasserin aut Strong Arens irregularity of Beurling algebras with a locally convex topology 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2006 Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. Nasr-Isfahani, R. aut Rejali, A. aut Enthalten in Archiv der Mathematik Birkhäuser-Verlag, 1948 86(2006), 5 vom: Mai, Seite 437-448 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:86 year:2006 number:5 month:05 pages:437-448 https://doi.org/10.1007/s00013-005-1496-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 86 2006 5 05 437-448
allfields_unstemmed	10.1007/s00013-005-1496-6 doi (DE-627)OLC2049228724 (DE-He213)s00013-005-1496-6-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Maghsoudi, S. verfasserin aut Strong Arens irregularity of Beurling algebras with a locally convex topology 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2006 Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. Nasr-Isfahani, R. aut Rejali, A. aut Enthalten in Archiv der Mathematik Birkhäuser-Verlag, 1948 86(2006), 5 vom: Mai, Seite 437-448 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:86 year:2006 number:5 month:05 pages:437-448 https://doi.org/10.1007/s00013-005-1496-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 86 2006 5 05 437-448
allfieldsGer	10.1007/s00013-005-1496-6 doi (DE-627)OLC2049228724 (DE-He213)s00013-005-1496-6-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Maghsoudi, S. verfasserin aut Strong Arens irregularity of Beurling algebras with a locally convex topology 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2006 Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. Nasr-Isfahani, R. aut Rejali, A. aut Enthalten in Archiv der Mathematik Birkhäuser-Verlag, 1948 86(2006), 5 vom: Mai, Seite 437-448 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:86 year:2006 number:5 month:05 pages:437-448 https://doi.org/10.1007/s00013-005-1496-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 86 2006 5 05 437-448
allfieldsSound	10.1007/s00013-005-1496-6 doi (DE-627)OLC2049228724 (DE-He213)s00013-005-1496-6-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Maghsoudi, S. verfasserin aut Strong Arens irregularity of Beurling algebras with a locally convex topology 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2006 Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. Nasr-Isfahani, R. aut Rejali, A. aut Enthalten in Archiv der Mathematik Birkhäuser-Verlag, 1948 86(2006), 5 vom: Mai, Seite 437-448 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:86 year:2006 number:5 month:05 pages:437-448 https://doi.org/10.1007/s00013-005-1496-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 86 2006 5 05 437-448
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author	Maghsoudi, S.
spellingShingle	Maghsoudi, S. ddc 510 ssgn 17,1 bkl 31.00 Strong Arens irregularity of Beurling algebras with a locally convex topology
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topic_title	510 050 VZ 17,1 ssgn 31.00 bkl Strong Arens irregularity of Beurling algebras with a locally convex topology
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title	Strong Arens irregularity of Beurling algebras with a locally convex topology
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title_full	Strong Arens irregularity of Beurling algebras with a locally convex topology
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author_browse	Maghsoudi, S. Nasr-Isfahani, R. Rejali, A.
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title_sort	strong arens irregularity of beurling algebras with a locally convex topology
title_auth	Strong Arens irregularity of Beurling algebras with a locally convex topology
abstract	Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. © Birkhäuser Verlag, Basel 2006
abstractGer	Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. © Birkhäuser Verlag, Basel 2006
abstract_unstemmed	Abstract. Let G be a locally compact group with a weight function ω. Recently, we have shown that the Banach space L0∞ (G,1/ω) can be identified with the strong dual of L1(G, ω)equipped with some locally convex topologies τ. Here we use this duality to introduce an Arens multiplication on (L1(G, ω), τ), and prove that the topological center of (L1(G, ω), τ) is (L1(G, ω); this enables us to conclude that (L1(G, ω), τ) is Arens regular if and only if G is discrete. We also give a characterization for Arens regularity of L0∞ (G, 1/ω)1. © Birkhäuser Verlag, Basel 2006
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title_short	Strong Arens irregularity of Beurling algebras with a locally convex topology
url	https://doi.org/10.1007/s00013-005-1496-6
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author2	Nasr-Isfahani, R. Rejali, A.
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