INVESTIGADORES
LASSALLE Silvia Beatriz
artículos
Título:
Isometries between spaces of homogeneous polynomials
Autor/es:
BOYD, C., LASSALLE, S.
Revista:
JOURNAL OF FUNCTIONAL ANALYSIS
Editorial:
Elsevier
Referencias:
Año: 2005 vol. 224 p. 281 - 295
ISSN:
0022-1236
Resumen:
We derive BanachStone 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.