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

Year, pages: 2018, 147 - 152

For two Banach algebras $A$ and $B$, the $T$-Lau product $A×_T B$, was recently introduced and studied for some bounded homomorphism $T: B\to A$ with $|T|≤ 1$. Here, we give general nessesary and sufficent conditions for $A×_T B$ 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 $A×_T B$ and answer a question on cyclic amenability of $A×_T B$.

Ramezanpour, M. 2018. More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism. In Mathematica Slovaca, vol. 68, no.1, pp. 147-152. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0087

Ramezanpour, M. (2018). More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism. Mathematica Slovaca, 68(1), 147-152. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0087