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: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2005
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
Descripción
Sumario: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.

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