Open Access
2011 Diameter Preserving Mappings between Function Algebras
Juan J. Font, Maliheh Hossein
Taiwanese J. Math. 15(4): 1487-1495 (2011). DOI: 10.11650/twjm/1500406360

Abstract

In this paper we study the behaviour of linear diameter preserving mappings when defined between subalgebras of continuous functions. Namely, we obtain a representation of such mappings as the sum of a weighted composition operator and a linear functional on, at least, the Choquet boundaries of the algebras under consideration. In particular, we give a complete description when we consider several classical function algebras.

Citation

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Juan J. Font. Maliheh Hossein. "Diameter Preserving Mappings between Function Algebras." Taiwanese J. Math. 15 (4) 1487 - 1495, 2011. https://doi.org/10.11650/twjm/1500406360

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1241.47030
MathSciNet: MR2848970
Digital Object Identifier: 10.11650/twjm/1500406360

Subjects:
Primary: 47B38
Secondary: 46J10 , 47B33

Keywords: Choquet boundary , diameter preserving maps , extreme point , function algebras

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 4 • 2011
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