Distinguishing properties of Arens irregularity

DOI10.1090/S0002-9939-08-09678-0zbMath1163.43004OpenAlexW2050261060MaRDI QIDQ3625549

Zhiguo Hu, Matthias Neufang

Publication date: 5 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09678-0

zbMATH Keywords

Arens productsArens irregularitysecond dualstopological centers

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

On the extreme non‐Arens regularity of Banach algebras, Module maps on duals of Banach algebras and topological centre problems, Unnamed Item, Extreme non-Arens regularity of the group algebra

Cites Work

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• On topological centre problems and SIN quantum groups
• Arens regularity and discrete groups
• The \(C^ \ast\)-algebra generated by operators with compact support on a locally compact group
• On group representations whose \(C^*\)-algebra is an ideal in its Von Neumann algebra
• Day points for quotients of the Fourier algebra \(A(G)\), extreme nonergodicity of their duals and extreme non Arens regularity
• The centre of the bidual of Fourier algebras (discrete groups)
• Characterizations of Riesz sets
• On the size of quotients of function spaces on a topological group
• Extreme non-Arens regularity of quotients of the Fourier algebra A(G)
• Decomposability of von Neumann Algebras and the Mazur Property of Higher Level
• On the Second Conjugate Algebra of L ₁ (G ) of a Locally Compact Group
• Central elements of A ** for certain Banach algebras A without bounded approximate identities
• Weakly Almost Periodic and Uniformly Continuous Functionals on the Fourier Algebra of any Locally Compact Group
• Inductive extreme non-Arens regularity of the Fourier algebra A(G)
• The centre of the second conjugate algebra of the Fourier algebra for infinite products of groups
• Topological centers of certain dual algebras
• Multipliers on a new class of Banach algebras, locally compact quantum groups, and topological centres
• Open subgroups and the centre problem for the Fourier algebra
• The Convolution of Functionals on Spaces of Bounded Functions
• The second duals of Beurling algebras
• The Adjoint of a Bilinear Operation