A bipolar property of subgroups and translation invariant closed convex subsets

DOI10.1016/j.jmaa.2011.10.041zbMath1237.43001OpenAlexW2022294026MaRDI QIDQ662059

Michael Yin-Hei Cheng

Publication date: 11 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.041

zbMATH Keywords

dual spacepositive definite functionslocally compact groupsamenable groupsseparation propertybipolar property

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (1)

Dual spaces and translation invariant means on group von Neumann algebras

Cites Work

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• Amenability and bounded approximate identities in ideals of A(G)
• Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability
• Restrictions of certain function spaces to closed subgroups of locally compact groups
• Amenable unitary representations of locally compact groups
• Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups
• On some topologies which coincide on the unit sphere of the Fourier- Stieltjes algebra B(G) and of the measure algebra M(G)
• Primitive ideals in enveloping algebras
• Ideals with bounded approximate identities in Fourier algebras.
• On a separation property of positive definite functions on locally compact groups
• A separation property of positive definite functions on locally compact groups and applications to Fourier algebras
• Non-abelian Pontriagin duality
• Left centralizers and isomorphisms of group algebras
• Subalgebras generated by extreme points in Fourier–Stieltjes algebras of locally compact groups
• Uniformly Continuous Functionals on the Fourier Algebra of Any Locally Compact Group
• Closed Convex Invariant Subsets of L p (G)
• Separating ideals in group algebras
• Complemented ideals in the Fourier algebra of a locally compact group
• Almost Periodic Functions in a Group. I
• Extreme points of the unit ball of the Fourier-Stieltjes algebra
• L'algèbre de Fourier d'un groupe localement compact
• Multipliers, positive functionals, positive-definite functions, and Fourier-Stieltjes transforms
• Centralizers of the Fourier Algebra of an Amenable Group
• Extensions of positive-definite functions

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