Some notions of amenability for certain products of Banach algebras
Volume 130 / 2013
Colloquium Mathematicum 130 (2013), 147-157
MSC: Primary 46H05, 46H25; Secondary 43A07, 43A10, 43A20.
DOI: 10.4064/cm130-2-1
Abstract
For two Banach algebras $\cal A$ and $\cal B$, an interesting product ${\cal A}\times _{\theta }{\cal B}$, called the $\theta $-Lau product, was recently introduced and studied for some nonzero characters $\theta $ on $\cal B$. Here, we characterize some notions of amenability as approximate amenability, essential amenability, $n$-weak amenability and cyclic amenability between $\cal A$ and $\cal B$ and their $\theta $-Lau product.
