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...
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2005
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v224_n2_p281_Boyd_oai |
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I28-R145-paper_00221236_v224_n2_p281_Boyd_oai2024-08-16 Boyd, C. Lassalle, S. 2005 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Funct. Anal. 2005;224(2):281-295 Homogeneous polynomial Isometries Power-preserving mapping Isometries between spaces of homogeneous polynomials info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v224_n2_p281_Boyd_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (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 |
Artículo Artículo publishedVersion |
| 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 |
| publishDate |
2005 |
| url |
http://hdl.handle.net/20.500.12110/paper_00221236_v224_n2_p281_Boyd https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v224_n2_p281_Boyd_oai |
| work_keys_str_mv |
AT boydc isometriesbetweenspacesofhomogeneouspolynomials AT lassalles isometriesbetweenspacesofhomogeneouspolynomials |
| _version_ |
1809356749241581568 |