Title of article :
Isometries between spaces of homogeneous
polynomials
Author/Authors :
Christopher Boyd، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
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
Journal title :
Journal of Functional Analysis