Zero product determined of abstract Segal algebras

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, Iran

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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References

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AUT Journal of Mathematics and Computing
Volume 6, Issue 4
2025
Pages 311-315

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