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arXiv · 1701.06056

More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism

Mohammad Ramezanpour
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Abstract

For two Banach algebras $A$ and $B$, the $T$-Lau product $A\times_T B$, was recently introduced and studied for some bounded homomorphism $T:B\to A$ with $\|T\|\leq 1$. Here, we give general nessesary and sufficent conditions for $A\times_T B$ to be (approximately) cyclic amenable. In particular, we extend some recent results on (approximate) cyclic amenability of direct product $A\oplus B$ and $T$-Lau product $A\times_T B$ and answer a question on cyclic amenability of $A\times_T B$.

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Mohammad Ramezanpour. 2017-01-21. More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism. https://arxiv.org/abs/1701.06056

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