Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495963 | Journal of Functional Analysis | 2005 | 15 Pages |
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 Eâ² onto Fâ². 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christopher Boyd, Silvia Lassalle,