Affiliation:
1. Faculty of Mathematics and Computer Science, Amirkabir University of Technology
2. Faculty of Basic Sciences, Ilam University
Abstract
Given Banach algebras A and B and θ ∈ ∆(B). We shall study the
Johnson pseudo-contractibility and pseudo-amenability of the θ-Lau product A×θ B.
We show that if A ×θ B is Johnson pseudo-contractible, then both A and B are
Johnson pseudo-contractible and A has a bounded approximate identity. In some
particular cases, a complete characterization of Johnson pseudo-contractibility of
A ×θ B is given. Also, we show that pseudo-amenability of A ×θ B implies the
approximate amenability of A and pseudo-amenability of B.
Publisher
University Library in Kragujevac
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