Isometries between spaces of homogeneous polynomials

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Lassalle, Silvia Beatriz
Publicado: 2005
Materias:
Homogeneous polynomial
Isometries
Power-preserving mapping
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v224_n2_p281_Boyd
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 paper:paper_00221236_v224_n2_p281_Boyd
record_format dspace
spelling paper:paper_00221236_v224_n2_p281_Boyd2023-06-08T14:46:23Z Isometries between spaces of homogeneous polynomials Lassalle, Silvia Beatriz 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. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v224_n2_p281_Boyd 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
Lassalle, Silvia Beatriz
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.
author Lassalle, Silvia Beatriz
author_facet Lassalle, Silvia Beatriz
author_sort Lassalle, Silvia Beatriz
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
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v224_n2_p281_Boyd
http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd
work_keys_str_mv AT lassallesilviabeatriz isometriesbetweenspacesofhomogeneouspolynomials
_version_ 1768541691480899584

Ejemplares similares