NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES-Reference-Cited by-同舟云学术

NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES

Published:2009-06-19 Issue:1 Volume:80 Page:139-146
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

TAN DONG-NI

Abstract

AbstractWe characterize surjective nonexpansive mappings between unit spheres of ℒ∞(Γ)-type spaces. We show that such mappings turn out to be isometries and can be extended to linear isometries on the whole space ℒ∞(Γ).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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