Some notions of amenability for certain products of Banach algebras
Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 147-157
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
banach algebras cal cal interesting product cal times theta cal called theta lau product recently introduced studied nonzero characters theta cal here characterize notions amenability approximate amenability essential amenability n weak amenability cyclic amenability between cal cal their theta lau product
Affiliations des auteurs :
Eghbal Ghaderi 1 ; Rasoul Nasr-Isfahani 1 ; Mehdi Nemati 2
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author = {Eghbal Ghaderi and Rasoul Nasr-Isfahani and Mehdi Nemati},
title = {Some notions of amenability for certain products of {Banach} algebras},
journal = {Colloquium Mathematicum},
pages = {147--157},
publisher = {mathdoc},
volume = {130},
number = {2},
year = {2013},
doi = {10.4064/cm130-2-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm130-2-1/}
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Eghbal Ghaderi; Rasoul Nasr-Isfahani; Mehdi Nemati. Some notions of amenability for certain products of Banach algebras. Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 147-157. doi: 10.4064/cm130-2-1
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