Zero product determined of abstract Segal algebra

Essmaili, Morteza; Rajaenejad, Rahmatollah

doi:10.22060/ajmc.2025.23820.1310

Zero product determined of abstract Segal algebra

Articles in Press

Document Type : Original Article

Authors

Morteza Essmaili
Rahmatollah Rajaenejad

Department of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, 50 Taleghani Avenue, Tehran 15618, Iran

10.22060/ajmc.2025.23820.1310

Abstract

At the present article, we investigate the notion of zero product determined for category of abstract Segal algebras. Indeed, where $\mathfrak{X}$ is an abstract segal algebra with respect to $\mathfrak{A},$ we prove that under some conditions this notion inherits from $\mathfrak{X}$ to $\mathfrak{A}.$ Applying these results, we obtain some sufficient conditions in which the Fourier algebra $A(\mathfrak{G})$ is zero product determined, when $\mathfrak{G}$ is a locally compact group.

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