Open Access
September 2007 A Banach-Stone Theorem for completely regular spaces
Hamid Reza Shatery, Jafar Zafarani
Bull. Belg. Math. Soc. Simon Stevin 14(3): 555-564 (September 2007). DOI: 10.36045/bbms/1190994218

Abstract

In this paper, we study some Banach algebras with this property that each linear isometry between them induces a Banach algebra isometry. We obtain a Banach-Stone type theorem between Baire functions defined on completely regular spaces. As a consequence, a similar result for the space of continuous functions is deduced.

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Hamid Reza Shatery. Jafar Zafarani. "A Banach-Stone Theorem for completely regular spaces." Bull. Belg. Math. Soc. Simon Stevin 14 (3) 555 - 564, September 2007. https://doi.org/10.36045/bbms/1190994218

Information

Published: September 2007
First available in Project Euclid: 28 September 2007

zbMATH: 1143.46004
MathSciNet: MR2387054
Digital Object Identifier: 10.36045/bbms/1190994218

Subjects:
Primary: 46B04 , ‎46E15 , 46J10 , 54C35‎

Keywords: Baire functions , Banach algebras , Banach-Stone theorem , Borel functions , Completely regular spaces

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 3 • September 2007
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