Geodesic
Induced topologies on certain Banach algebras
Filomat, Tome 37 (2023) no. 4, p. 1311

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DOI

Let A be a Banach algebra with a bounded approximate identity bounded by 1. Two new topologies τ so and τ wo are introduced on A. We study these topologies and compare them with each other and with the norm topology. The properties of τ so and τ wo are then studied further and we pay attention to the group algebra L 1 (G) of a locally compact group G. Various necessary and sufficient conditions are found for a locally compact group G to be finite.
DOI : 10.2298/FIL2304311E
Classification : 43A10, 43A60
Keywords: Banach algebras, bounded linear operators, induced topology, group algebras 
M Eshaghi; A Ghaffari; M B Sahabi. Induced topologies on certain Banach algebras. Filomat, Tome 37 (2023) no. 4, p. 1311 . doi: 10.2298/FIL2304311E
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     title = {Induced topologies on certain {Banach} algebras},
     journal = {Filomat},
     pages = {1311 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304311E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304311E/}
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