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Abstract:

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.

Registro:

Documento: Artículo
Título:Isometries between spaces of homogeneous polynomials
Autor:Boyd, C.; Lassalle, S.
Filiación:Department of Mathematics, University College Dublin, Science Lecture Building, Belfield, Dublin 4, Ireland
Departamento de Matemática, FCEN, Universidad de Buenos Aires, Pab. 1, 1428 Buenos Aires, Argentina
Palabras clave:Homogeneous polynomial; Isometries; Power-preserving mapping
Año:2005
Volumen:224
Número:2
Página de inicio:281
Página de fin:295
DOI: http://dx.doi.org/10.1016/j.jfa.2005.01.009
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00221236_v224_n2_p281_Boyd.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v224_n2_p281_Boyd

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Citas:

---------- APA ----------
Boyd, C. & Lassalle, S. (2005) . Isometries between spaces of homogeneous polynomials. Journal of Functional Analysis, 224(2), 281-295.
http://dx.doi.org/10.1016/j.jfa.2005.01.009
---------- CHICAGO ----------
Boyd, C., Lassalle, S. "Isometries between spaces of homogeneous polynomials" . Journal of Functional Analysis 224, no. 2 (2005) : 281-295.
http://dx.doi.org/10.1016/j.jfa.2005.01.009
---------- MLA ----------
Boyd, C., Lassalle, S. "Isometries between spaces of homogeneous polynomials" . Journal of Functional Analysis, vol. 224, no. 2, 2005, pp. 281-295.
http://dx.doi.org/10.1016/j.jfa.2005.01.009
---------- VANCOUVER ----------
Boyd, C., Lassalle, S. Isometries between spaces of homogeneous polynomials. J. Funct. Anal. 2005;224(2):281-295.
http://dx.doi.org/10.1016/j.jfa.2005.01.009