Geodesic
On ϕ-biflatness-like properties of certain Banach algebras with applications
Filomat, Tome 37 (2023) no. 11, p. 3551

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DOI

In this paper left ϕ-biflatness of abstract Segal algebras is investigated. For a locally compact group G, we show that any abstract Segal algebra with respect to L 1 (G) is left ϕ-biflat if and only if the underlying group G is amenable. We then prove that the Lipschitz algebras Lip α (X) and lip α (X) are left C-ϕ-biflat if and only if X is finite. Finally, we also study left ϕ-biflatness of lower triangular matrix algebras.
DOI : 10.2298/FIL2311551S
Classification : 46M10, 43A07, 43A20
Keywords: Left ϕ-biflat, Segal algebra, Lipschitz algebra, Locally compact group 
Solaleh Salimi; Amin Mahmoodi; Amir Sahami; Mehdi Rostami. On ϕ-biflatness-like properties of certain Banach algebras with applications. Filomat, Tome 37 (2023) no. 11, p. 3551 . doi: 10.2298/FIL2311551S
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     title = {On \ensuremath{\phi}-biflatness-like properties of certain {Banach} algebras with applications},
     journal = {Filomat},
     pages = {3551 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311551S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311551S/}
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