On super pseudo-amenability of certain Banach algebras

Document Type : Original Article

Authors

1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

2 Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran

3 Department of Mathematics, Faculty of Basic Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran

Abstract

In this paper, we study the super pseudo-amenability of the Banach algebra $A \times_{\theta} B$, where $A$ and $B$ are Banach algebras and $\theta$ is a character on $B$. We establish connections between super pseudo-amenability
of $A \times_{\theta} B$ and that of the Banach algebras $A$ and $B$. As an application, we analyze the super pseudo-amenability of $\ell^{1}(S) \times_{\theta} B$, where $\ell^{1}(S)$ denotes the semigroup algebra and $B$ is an arbitrary Banach algebra. Finally, we discuss super pseudo-amenability of certain $\theta$-Lau product algebras.

Keywords

Main Subjects

References

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Measure Algebras and Applications
Volume 3, Issue 2 - Serial Number 5
December 2025
Pages 52-60

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