ARENS PRODUCTS, ARENS REGULARITY AND RELATED PROBLEMS

DOI10.1017/S0004972719001114zbMath1441.43006OpenAlexW2992888358MaRDI QIDQ3295171

Yuji Takahashi, Ruki Matsui

Publication date: 8 July 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719001114

zbMATH Keywords

measure algebragroup algebralocally compact groupradical\(C^\ast\)-algebraArens productArens regularityFourier and Fourier-Stieltjes transformssecond dual Banach algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) General theory of topological algebras (46H05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Arens regularity sometimes implies the RNP
• On amenable semigroups with a finite-dimensional set of invariant means. I, II
• Weakly compact operators on operator algebras
• Commutativity and ideals in the biduals of topological algebras
• The second conjugate space of a Banach algebra as an algebra
• Operations induced in function classes
• Weakly Compact Bilinear Forms and Arens Regularity
• The second dual of a Banach algebra
• The Radical of L ∞ (G) ∗
• Shorter Notes: The Fourier Transform is Onto Only When the Group is Finite
• THE IRREGULARITY OF MULTIPLICATION IN GROUP ALGEBRAS
• The Fourier Transform is Onto Only When the Group is Finite
• The second duals of Beurling algebras
• The Adjoint of a Bilinear Operation

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