Open Access
Translator Disclaimer
November 2013 Bochner-Schoenberg-Eberlein property for abstract Segal algebras
Zeinab Kamali, Mahmood Lashkarizadeh Bami
Proc. Japan Acad. Ser. A Math. Sci. 89(9): 107-110 (November 2013). DOI: 10.3792/pjaa.89.107

Abstract

Let $\mathcal{A}$ be a BSE Banach algebra and $\mathcal{B}$ be an essential abstract Segal algebra with respect to $\mathcal{A}$. In this paper we present a necessary and sufficient condition for $\mathcal{B}$ to be a BSE algebra as well. Furthermore we study BSE property of some certain abstract Segal algebras which are not discussed in previous works.

Citation

Download Citation

Zeinab Kamali. Mahmood Lashkarizadeh Bami. "Bochner-Schoenberg-Eberlein property for abstract Segal algebras." Proc. Japan Acad. Ser. A Math. Sci. 89 (9) 107 - 110, November 2013. https://doi.org/10.3792/pjaa.89.107

Information

Published: November 2013
First available in Project Euclid: 30 October 2013

zbMATH: 1301.46028
MathSciNet: MR3127927
Digital Object Identifier: 10.3792/pjaa.89.107

Subjects:
Primary: 46Jxx
Secondary: 22D15

Keywords: $\Delta$-weak bounded approximate identity , abstract Segal algebra , BSE algebra

Rights: Copyright © 2013 The Japan Academy

JOURNAL ARTICLE
4 PAGES


SHARE
Vol.89 • No. 9 • November 2013
Back to Top