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LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES

Part of: Special properties Linear function spaces and their duals

Published online by Cambridge University Press:  27 January 2016

KAZUHIRO KAWAMURA
KAZUHIRO KAWAMURA*
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan email kawamura@math.tsukuba.ac.jp
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Abstract

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We prove some Banach–Stone type theorems for linear isometries of vector-valued continuous function spaces, by making use of the extreme point method.

Keywords

isometryreal-linearityweighted composition operatordimension theory

MSC classification

Primary: 46E15: Banach spaces of continuous, differentiable or analytic functions
Secondary: 54F45: Dimension theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 100 , Issue 3 , June 2016 , pp. 349 - 373
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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