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• W2240219845 abstract "Let $cal A$ and $cal B$ be Banach algebras. A linear map $T:{cal A} rightarrow {cal B}$ is called separating or disjointness preserving if $ab=0$ implies $Ta;Tb = 0$ for all $a,bin {cal A}$. In this paper, we study a new class of regular Tauberian algebras and prove that some well-known Banach algebras in harmonic analysis belong to this class. We show that a bijective separating map between these algebras turns out to be continuous and the maximal ideal spaces of underlying algebras are homeomorphic. By imposing extra conditions on these algebras, we find a more thorough characterization of separating maps. The existence of a bijective separating map also leads to the existence of an algebraic isomorphism in some cases." @default.
• W2240219845 created "2016-06-24" @default.
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• W2240219845 creator A5043353657 @default.
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• W2240219845 date "2011-11-25" @default.
• W2240219845 modified "2023-09-27" @default.
• W2240219845 title "Separating maps between commutative Banach algebras" @default.
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• W2240219845 hasPublicationYear "2011" @default.
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