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- W4313233239 abstract "Let ω be a weight function on a locally compact group 𝒢 and let M(𝒢,ω)0∗ be the subspace of M(𝒢,ω)∗ consisting of all functionals that vanish at infinity. We first introduce an Arens product on (M(𝒢,ω)0∗)∗ under which it is a Banach algebra. We then show that the existence of a nonzero compact right multiplier on (M(𝒢,ω)0∗)∗ is equivalent to compactness of 𝒢. We also prove that if (M(𝒢,ω)0∗)∗ is Arens regular, then 𝒢 is discrete." @default.
- W4313233239 created "2023-01-06" @default.
- W4313233239 creator A5004493531 @default.
- W4313233239 creator A5067804138 @default.
- W4313233239 date "2022-12-01" @default.
- W4313233239 modified "2023-09-27" @default.
- W4313233239 title "THE EXISTENCE OF NONZERO COMPACT RIGHT MULTIPLIERS AND ARENS REGULARITY OF WEIGHTED BANACH ALGEBRAS" @default.
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- W4313233239 doi "https://doi.org/10.1216/rmj.2022.52.2101" @default.
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