The Bochner–Schoenberg–Eberlein Property and Spectral Synthesis for Certain Banach Algebra Products

DOI10.4153/CJM-2014-028-4zbMath1348.46052OpenAlexW2318762224MaRDI QIDQ5264277

Eberhard Kaniuth

Publication date: 27 July 2015

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2014-028-4

zbMATH Keywords

commutative Banach algebramultiplier algebraset of synthesisweak spectral setBSE-algebraGelfand spectrumsplitting extensionBSE-function

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Spectral synthesis on groups, semigroups, etc. (43A45) Representations of commutative topological algebras (46J25)

Related Items (11)

Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜 ⋮ 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 ⋮ On various spectra of elements of \(\mathcal{A} \times_\theta \mathcal{B}\) ⋮ The semigroup algebra \(\ell^1(\mathbb{Z}^2,\max)\) is a Bochner-Schoenberg-Eberlein (BSE) algebra ⋮ -algebra structure on certain Banach algebra products ⋮ Spectral properties of the Lau product \(\mathcal{A}\times_{\theta}\mathcal{B}\) of Banach algebras ⋮ Derivations on Banach algebras of connected multiplicative linear functionals ⋮ Generalized module extension Banach algebras: Derivations and weak amenability ⋮ The Bochner-Schoenberg-Eberlein property for vector-valued Lipschitz algebras ⋮ THE BOCHNER–SCHOENBERG-EBERLEIN PROPERTY OF EXTENSIONS OF BANACH ALGEBRAS AND BANACH MODULES

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