Isometries between spaces of homogeneous polynomials

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We derive Banach-Stone theorems for spaces of homogeneous polynomials. We show that every isometric isomorphism between the spaces of homogeneous approximable polynomials on real Banach spaces E and F is induced by an isometric isomorphism of E′ onto F′. With an additional geometric condition we obt...

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Detalles Bibliográficos
Autores principales: Boyd, C., Lassalle, S.
Formato: JOUR
Materias:
Homogeneous polynomial
Isometries
Power-preserving mapping
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00221236_v224_n2_p281_Boyd
record_format dspace
spelling todo:paper_00221236_v224_n2_p281_Boyd2023-10-03T14:27:14Z Isometries between spaces of homogeneous polynomials Boyd, C. Lassalle, S. Homogeneous polynomial Isometries Power-preserving mapping We derive Banach-Stone theorems for spaces of homogeneous polynomials. We show that every isometric isomorphism between the spaces of homogeneous approximable polynomials on real Banach spaces E and F is induced by an isometric isomorphism of E′ onto F′. With an additional geometric condition we obtain the analogous result in the complex case. Isometries between spaces of homogeneous integral polynomials and between the spaces of all n-homogeneous polynomials are also investigated. © 2005 Elsevier Inc. All rights reserved. Fil:Lassalle, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Homogeneous polynomial
Isometries
Power-preserving mapping
spellingShingle Homogeneous polynomial
Isometries
Power-preserving mapping
Boyd, C.
Lassalle, S.
Isometries between spaces of homogeneous polynomials
topic_facet Homogeneous polynomial
Isometries
Power-preserving mapping
description We derive Banach-Stone theorems for spaces of homogeneous polynomials. We show that every isometric isomorphism between the spaces of homogeneous approximable polynomials on real Banach spaces E and F is induced by an isometric isomorphism of E′ onto F′. With an additional geometric condition we obtain the analogous result in the complex case. Isometries between spaces of homogeneous integral polynomials and between the spaces of all n-homogeneous polynomials are also investigated. © 2005 Elsevier Inc. All rights reserved.
format JOUR
author Boyd, C.
Lassalle, S.
author_facet Boyd, C.
Lassalle, S.
author_sort Boyd, C.
title Isometries between spaces of homogeneous polynomials
title_short Isometries between spaces of homogeneous polynomials
title_full Isometries between spaces of homogeneous polynomials
title_fullStr Isometries between spaces of homogeneous polynomials
title_full_unstemmed Isometries between spaces of homogeneous polynomials
title_sort isometries between spaces of homogeneous polynomials
url http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd
work_keys_str_mv AT boydc isometriesbetweenspacesofhomogeneouspolynomials
AT lassalles isometriesbetweenspacesofhomogeneouspolynomials
_version_ 1807317688614125568

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