Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras

DOI10.1090/S0002-9947-02-03203-8zbMath1028.43002OpenAlexW1863069091MaRDI QIDQ4787469

Anthony To-Ming Lau, Eberhard Kaniuth, Guenter Schlichting

Publication date: 7 January 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03203-8

zbMATH Keywords

unitary representationLebesgue decompositionlocally compact groupFourier algebraFourier-Stieltjes algebracoefficient function space

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (3)

Spectral theory of Fourier-Stieltjes algebras ⋮ A topological Paley-Wiener property for locally compact groups ⋮ Homomorphisms of Fourier–Stieltjes algebras

Cites Work

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• A sufficient condition for the complete reducibility of the regular representation
• On primary ideals in group algebras
• Geometry of the Fourier algebras and locally compact groups with atomic unitary representations
• On some topologies which coincide on the unit sphere of the Fourier- Stieltjes algebra B(G) and of the measure algebra M(G)
• On invariant subalgebras of the Fourier-Stieltjes algebra of a locally compact group
• The \(C^ \ast\)-algebra generated by operators with compact support on a locally compact group
• On the regular representation of a nonunimodular locally compact group
• The Fourier transform for nilpotent locally compact groups. I
• Geometric properties of coefficient function spaces determined by unitary representations of a locally compact group
• Amenable actions of locally compact groups
• Harmonic synthesis for subgroups
• A Note on Scattered C^∗ -Algebras and the Radon-Nikodym Property
• The Dunford-Pettis Property in the Predual of a Von Neumann Algebra
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• Closed Convex Invariant Subsets of L p (G)
• Groups with Completely Reducible Regular Representation
• Decomposition of $B(G)$
• Some Geometric Properties on the Fourier and Fourier Stieltjes Algebras of Locally Compact Groups, Arens Regularity and Related Problems
• Wavelets from Square-Integrable Representations
• Extreme points of the unit ball of the Fourier-Stieltjes algebra
• On the Transform of a Singular or an Absolutely Continuous Measure
• L'algèbre de Fourier d'un groupe localement compact
• Weak Containment and Induced Representations of Groups
• The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]
• On the Fourier-Algebra of a Locally Compact Amenable Group
• Compactness conditions in topological groups.
• Groups with Finite Dimensional Irreducible Representations

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