On characterizations of the image of the Gelfand transform of commutative Banach algebras

DOI10.1002/mana.200410468zbMath1116.46037OpenAlexW1967061986MaRDI QIDQ3427405

Jyunji Inoue, Sin-Ei Takahasi

Publication date: 20 March 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69124

zbMATH Keywords

Lipschitz algebraGelfand transformmultiplier algebraSegal algebraquasi-topologyideal of group algebraquotient of group algebras

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Structure and classification of commutative topological algebras (46J40) Representations of commutative topological algebras (46J25)

Related Items (14)

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 characterizations of the image of Gelfand transform and BED property for vector valued \(\ell^p\)-algebras ⋮ Segal algebras in commutative Banach algebras ⋮ The BSE-properties for vector-valued \(L^p\)-algebras ⋮ BSE property of Fréchet algebra ⋮ BSE-properties of vector-valued group algebras ⋮ Banach function algebras of $n$-times continuously differentiable functions on $\mathbf{R}^d$ vanishing at infinity and their BSE-extensions ⋮ The Bochner-Schoenberg-Eberlein property for \(L^{1}(\mathbb{R}^{+})\) ⋮ The semigroup algebra \(\ell^1(\mathbb{Z}^2,\max)\) is a Bochner-Schoenberg-Eberlein (BSE) algebra ⋮ -algebra structure on certain Banach algebra products ⋮ The Bochner-Schoenberg-Eberlein property for commutative Banach algebras, especially Fourier and Fourier-Stieltjes algebras ⋮ Classification of semisimple commutative Banach algebras of type I ⋮ The Bochner-Schoenberg-Eberlein property for vector-valued Lipschitz algebras

Cites Work

• On a lifting problem of Fourier-Stieltjes transforms of measures
• Two theorems on metric spaces
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