Geodesic
Hyper-Tauberian algebras defined by a Banach algebra homomorphism
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 17-27

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Let $A$ and $B$ be Banach algebras and $T:B\longrightarrow A$ be a continuous homomorphism. We consider left multipliers from $A\times_T B$ into its the first dual i.e., $A^*\times B^*$ and we show that $A\times_T B$ is a hyper-Tauberian algebra if and only if $A$ and $B$ are hyper-Tauberian algebras.
Keywords: Local operator, hyper-Tauberian algebra, Tauberian algebra. 
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     author = {A. Ebadian and A. Jabbari},
     title = {Hyper-Tauberian algebras defined by a {Banach} algebra homomorphism},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {17--27},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a1/}
}
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A. Ebadian; A. Jabbari. Hyper-Tauberian algebras defined by a Banach algebra homomorphism. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 17-27. http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a1/