Classification of semisimple commutative Banach algebras of type I

zbMath1439.46041MaRDI QIDQ2286704

Sin-Ei Takahasi, Hiroyuki Takagi, Jyunji Inoue, Takeshi Miura

Publication date: 22 January 2020

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1571277623

zbMATH Keywords

\(C^*\)-algebraSegal algebraBSE-algebraBED-algebraBanach algebra of type ITauberian algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Structure, classification of topological algebras (46H20) Structure and classification of commutative topological algebras (46J40)

Related Items (2)

Isomorphism Problem in a Special Class of Banach Function Algebras and its Application ⋮ The BSE concepts for vector-valued Lipschitz algebras

Cites Work

• Segal algebras in commutative Banach algebras
• A construction of a BSE-algebra of type I which is isomorphic to no \( C^\ast\)-algebras
• \(L^ 1\)-algebras and Segal algebras
• Commutative Banach Algebras Which Satisfy a Bochner-Schoenberg-Eberlein-Type Theorem
• 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
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