Geodesic
Relative amenability of Banach algebras
Filomat, Tome 36 (2022) no. 6, p. 2091

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DOI

Let A be a Banach algebra and I be a closed ideal of A. We say that A is amenable relative to I, if A/I is an amenable Banach algebra. We study the relative amenability of Banach algebras and investigate the relative amenability of triangular Banach algebras and Banach algebras associated to locally compact groups. We generalize some of the previous known results by applying the concept of relative amenability of Banach algebras, especially, we present a generalization of Johnson's theorem in the concept of relative amenability.
DOI : 10.2298/FIL2206091K
Classification : 46H10, 46H20, 46H99, 43A99
Keywords: amenable, relative amenable, Banach algebra, triangular Banach algebra, Banach algebra associated to a locally compact group 
Wania Khodakarami; Hoger Ghahramani; Esmaeil Feizi. Relative amenability of Banach algebras. Filomat, Tome 36 (2022) no. 6, p. 2091 . doi: 10.2298/FIL2206091K
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     title = {Relative amenability of {Banach} algebras},
     journal = {Filomat},
     pages = {2091 },
     year = {2022},
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     doi = {10.2298/FIL2206091K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206091K/}
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