Geodesic
Johnson Pseudo-Contractibility and Pseudo-Amenability of $ \theta $-Lau Product
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 593

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Given Banach algebras $A$ and $B$ and $\theta\in\Delta(B)$. We shall study the Johnson pseudo-contractibility and pseudo-amenability of the $\theta$-Lau product $A\times_{\theta}B$. We show that if $A\times_{\theta}B$ 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 $A\times_{\theta}B$ is given. Also, we show that pseudo-amenability of $A\times_{\theta}B$ implies the approximate amenability of $A$ and pseudo-amenability of $B$.
Classification : 46H05, 46H20 43A20
Keywords: $\theta $-Lau product, Johnson pseudo-contractibility, pseudo-amenability 
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     author = {M. Askari-Sayah and A. Pourabbas and A. Sahami},
     title = {Johnson {Pseudo-Contractibility} and {Pseudo-Amenability} of $ \theta ${-Lau} {Product}},
     journal = {Kragujevac Journal of Mathematics},
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M. Askari-Sayah; A. Pourabbas; A. Sahami. Johnson Pseudo-Contractibility and Pseudo-Amenability of $ \theta $-Lau Product. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 593 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a9/