Isomorphism Problem in a Special Class of Banach Function Algebras and its Application

DOI10.33205/CMA.952056zbMath1499.46109OpenAlexW3197271096MaRDI QIDQ5077106

Sin-Ei Takahasi, Makoto Tsukada, Kiyoshi Shirayanagi

Publication date: 17 May 2022

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.952056

zbMATH Keywords

BSE-algebraBED-algebraTauberian Banach algebraBanach function algebra of type IBSE-extensionInoue-Doss ideal

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Structure and classification of commutative topological algebras (46J40)

Related Items (1)

On the structure of quasi-topology and BED property for direct sum of Banach algebras

Cites Work

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• Weak and norm approximate identities are different
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• Classification of semisimple commutative Banach algebras of type I
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• On characterizations of the image of the Gelfand transform of commutative Banach algebras
• The Bochner-Schoenberg-Eberlein property for commutative Banach algebras, especially Fourier and Fourier-Stieltjes algebras
• Banach function algebras of $n$-times continuously differentiable functions on $\mathbf{R}^d$ vanishing at infinity and their BSE-extensions
• On the Transform of a Singular or an Absolutely Continuous Measure

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