Segal algebras in commutative Banach algebras

DOI10.1216/RMJ-2014-44-2-539zbMath1319.46040OpenAlexW1971039749MaRDI QIDQ404498

Jyunji Inoue, Sin-Ei Takahasi

Publication date: 4 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1407154914

zbMATH Keywords

commutative Banach algebragroup algebraGelfand transformmultiplier algebraSegal algebra

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) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure and classification of commutative topological algebras (46J40)

Related Items

On the structure of quasi-topology and BED property for direct sum of Banach algebras, Isomorphism Problem in a Special Class of Banach Function Algebras and its Application, On a Banach algebra generated in its multiplier space and applications to locally compact groups, BSE-property for some certain Segal and Banach algebras, On characterizations of the image of Gelfand transform and BED property for vector valued \(\ell^p\)-algebras, The Bochner–Schoenberg–Eberlein property for amalgamated duplication of Banach algebras, Hypercyclic generalized shift operators, Banach function algebras of $n$-times continuously differentiable functions on $\mathbf{R}^d$ vanishing at infinity and their BSE-extensions, Classification of semisimple commutative Banach algebras of type I

Cites Work

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• Harmonic analysis based on certain commutative Banach algebras
• Fourier multipliers of classical modulation spaces
• On a new Segal algebra
• Weak and norm approximate identities are different
• \(L^ 1\)-algebras and Segal algebras
• Zur Idealtheorie von Segal-Algebren
• Commutative Banach Algebras Which Satisfy a Bochner-Schoenberg-Eberlein-Type Theorem
• On characterizations of the image of the Gelfand transform of commutative Banach algebras
• Banach Spaces of Distributions Defined by Decomposition Methods, I
• A Characterization of Minimal Homogeneous Banach Spaces
• Segal Algebras and Left Normed Ideals
• Results on Banach ideals and spaces of multipliers.
• Closed Ideals in Subalgebras of Banach Algebras. I
• Shorter Notes: Local Units in L 1 (G)