Some results on isometric composition operators on Lipschitz spaces
Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation o...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Rueda Zoca, Abraham [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Revista matemática complutense - Madrid : Univ., 1988, 35(2021), 3 vom: 06. Okt., Seite 895-906 |
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| Übergeordnetes Werk: |
volume:35 ; year:2021 ; number:3 ; day:06 ; month:10 ; pages:895-906 |
| Links: |
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| DOI / URN: |
10.1007/s13163-021-00410-1 |
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| Katalog-ID: |
SPR048090913 |
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| 100 | 1 | |a Rueda Zoca, Abraham |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Some results on isometric composition operators on Lipschitz spaces |
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| 520 | |a Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. | ||
| 650 | 4 | |a Composition operators |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Lipschitz functions spaces |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Lipschitz-free spaces |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a denting points |7 (dpeaa)DE-He213 | |
| 773 | 0 | 8 | |i Enthalten in |t Revista matemática complutense |d Madrid : Univ., 1988 |g 35(2021), 3 vom: 06. Okt., Seite 895-906 |w (DE-627)327098120 |w (DE-600)2043797-3 |x 1988-2807 |7 nnns |
| 773 | 1 | 8 | |g volume:35 |g year:2021 |g number:3 |g day:06 |g month:10 |g pages:895-906 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s13163-021-00410-1 |z kostenfrei |3 Volltext |
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2021 |
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10.1007/s13163-021-00410-1 doi (DE-627)SPR048090913 (SPR)s13163-021-00410-1-e DE-627 ger DE-627 rakwb eng Rueda Zoca, Abraham verfasserin aut Some results on isometric composition operators on Lipschitz spaces 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 Enthalten in Revista matemática complutense Madrid : Univ., 1988 35(2021), 3 vom: 06. Okt., Seite 895-906 (DE-627)327098120 (DE-600)2043797-3 1988-2807 nnns volume:35 year:2021 number:3 day:06 month:10 pages:895-906 https://dx.doi.org/10.1007/s13163-021-00410-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 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 AR 35 2021 3 06 10 895-906 |
| spelling |
10.1007/s13163-021-00410-1 doi (DE-627)SPR048090913 (SPR)s13163-021-00410-1-e DE-627 ger DE-627 rakwb eng Rueda Zoca, Abraham verfasserin aut Some results on isometric composition operators on Lipschitz spaces 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 Enthalten in Revista matemática complutense Madrid : Univ., 1988 35(2021), 3 vom: 06. Okt., Seite 895-906 (DE-627)327098120 (DE-600)2043797-3 1988-2807 nnns volume:35 year:2021 number:3 day:06 month:10 pages:895-906 https://dx.doi.org/10.1007/s13163-021-00410-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 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 AR 35 2021 3 06 10 895-906 |
| allfields_unstemmed |
10.1007/s13163-021-00410-1 doi (DE-627)SPR048090913 (SPR)s13163-021-00410-1-e DE-627 ger DE-627 rakwb eng Rueda Zoca, Abraham verfasserin aut Some results on isometric composition operators on Lipschitz spaces 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 Enthalten in Revista matemática complutense Madrid : Univ., 1988 35(2021), 3 vom: 06. Okt., Seite 895-906 (DE-627)327098120 (DE-600)2043797-3 1988-2807 nnns volume:35 year:2021 number:3 day:06 month:10 pages:895-906 https://dx.doi.org/10.1007/s13163-021-00410-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 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 AR 35 2021 3 06 10 895-906 |
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10.1007/s13163-021-00410-1 doi (DE-627)SPR048090913 (SPR)s13163-021-00410-1-e DE-627 ger DE-627 rakwb eng Rueda Zoca, Abraham verfasserin aut Some results on isometric composition operators on Lipschitz spaces 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 Enthalten in Revista matemática complutense Madrid : Univ., 1988 35(2021), 3 vom: 06. Okt., Seite 895-906 (DE-627)327098120 (DE-600)2043797-3 1988-2807 nnns volume:35 year:2021 number:3 day:06 month:10 pages:895-906 https://dx.doi.org/10.1007/s13163-021-00410-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 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 AR 35 2021 3 06 10 895-906 |
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10.1007/s13163-021-00410-1 doi (DE-627)SPR048090913 (SPR)s13163-021-00410-1-e DE-627 ger DE-627 rakwb eng Rueda Zoca, Abraham verfasserin aut Some results on isometric composition operators on Lipschitz spaces 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 Enthalten in Revista matemática complutense Madrid : Univ., 1988 35(2021), 3 vom: 06. Okt., Seite 895-906 (DE-627)327098120 (DE-600)2043797-3 1988-2807 nnns volume:35 year:2021 number:3 day:06 month:10 pages:895-906 https://dx.doi.org/10.1007/s13163-021-00410-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 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 AR 35 2021 3 06 10 895-906 |
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Enthalten in Revista matemática complutense 35(2021), 3 vom: 06. Okt., Seite 895-906 volume:35 year:2021 number:3 day:06 month:10 pages:895-906 |
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Enthalten in Revista matemática complutense 35(2021), 3 vom: 06. Okt., Seite 895-906 volume:35 year:2021 number:3 day:06 month:10 pages:895-906 |
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Rueda Zoca, Abraham @@aut@@ |
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Rueda Zoca, Abraham misc Composition operators misc Lipschitz functions spaces misc Lipschitz-free spaces misc denting points Some results on isometric composition operators on Lipschitz spaces |
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Some results on isometric composition operators on Lipschitz spaces Composition operators (dpeaa)DE-He213 Lipschitz functions spaces (dpeaa)DE-He213 Lipschitz-free spaces (dpeaa)DE-He213 denting points (dpeaa)DE-He213 |
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some results on isometric composition operators on lipschitz spaces |
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Some results on isometric composition operators on Lipschitz spaces |
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Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. © The Author(s) 2021 |
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Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. © The Author(s) 2021 |
| abstract_unstemmed |
Abstract Given two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator %$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)%$ is an isometry depending on the properties of %$\phi %$. We obtain a complete characterisation of those operators %$C_\phi %$ in terms of a property of the function %$\phi %$ in the case that %$B_{{\mathcal {F}}(M)}%$ is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for %$C_\phi %$ being an isometry in the case that M is geodesic. © The Author(s) 2021 |
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