Proceedings of the Japan Academy, Series A, Mathematical Sciences

Bochner-Schoenberg-Eberlein property for abstract Segal algebras

Zeinab Kamali and Mahmood Lashkarizadeh Bami

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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.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 89, Number 9 (2013), 107-110.

First available in Project Euclid: 30 October 2013

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Zentralblatt MATH identifier

Primary: 46Jxx: Commutative Banach algebras and commutative topological algebras [See also 46E25]
Secondary: 22D15: Group algebras of locally compact groups

Abstract Segal algebra BSE algebra $\Delta$-weak bounded approximate identity


Kamali, Zeinab; Lashkarizadeh Bami, Mahmood. Bochner-Schoenberg-Eberlein property for abstract Segal algebras. Proc. Japan Acad. Ser. A Math. Sci. 89 (2013), no. 9, 107--110. doi:10.3792/pjaa.89.107.

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