Title of article :
Isometries between spaces of homogeneous polynomials
Author/Authors :
Christopher Boyd، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
15
From page :
281
To page :
295
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.
Keywords :
Isometries , Power-preserving mapping , Homogeneous polynomial
Journal title :
Journal of Functional Analysis
Serial Year :
2005
Journal title :
Journal of Functional Analysis
Record number :
838932
Link To Document :
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