Annals of Functional Analysis

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

Józef Banaś and Leszek Olszowy

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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.

Article information

Source
Ann. Funct. Anal., Volume 10, Number 2 (2019), 277-283.

Dates
Received: 26 July 2018
Accepted: 11 October 2018
First available in Project Euclid: 22 March 2019

Permanent link to this document
https://projecteuclid.org/euclid.afa/1553241619

Digital Object Identifier
doi:10.1215/20088752-2018-0027

Mathematical Reviews number (MathSciNet)
MR3941388

Zentralblatt MATH identifier
07083895

Subjects
Primary: 46H25: Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
Secondary: 46H99: None of the above, but in this section

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

Citation

Banaś, Józef; Olszowy, Leszek. On the equivalence of some concepts in the theory of Banach algebras. Ann. Funct. Anal. 10 (2019), no. 2, 277--283. doi:10.1215/20088752-2018-0027. https://projecteuclid.org/euclid.afa/1553241619


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References

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