Open Access
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


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.


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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.


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

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

Primary: 46Jxx
Secondary: 22D15

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

Rights: Copyright © 2013 The Japan Academy

Vol.89 • No. 9 • November 2013
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