On the equivalence of some concepts in the theory of Banach algebras

Józef Banaś; Leszek Olszowy

doi:10.1215/20088752-2018-0027

Abstract

Our principal aim in this article is to show the equivalence of two concepts used recently in the theory of Banach algebras. The result we present here solves an open problem raised by Jeribi and Krichen in their 2015 book.

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Józef Banaś. Leszek Olszowy. "On the equivalence of some concepts in the theory of Banach algebras." Ann. Funct. Anal. 10 (2) 277 - 283, May 2019. https://doi.org/10.1215/20088752-2018-0027

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Received: 26 July 2018; Accepted: 11 October 2018; Published: May 2019

First available in Project Euclid: 22 March 2019

zbMATH: 07083895

MathSciNet: MR3941388

Digital Object Identifier: 10.1215/20088752-2018-0027

Subjects:

Primary: 46H25

Secondary: 46H99

Keywords: Banach Algebra , condition $(\mathcal{P})$ , WC-Banach algebra , weak compactness , weak convergence

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