Geodesic
Johnson Pseudo-Contractibility and Pseudo-Amenability of $ \theta $-Lau Product
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 593 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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},
     pages = {593 },
     year = {2020},
     volume = {44},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a9/}
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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/