Geometric properties of coefficient function spaces determined by unitary representations of a locally compact group

DOI10.1006/jmaa.1995.1242zbMath0854.43010OpenAlexW2070410802MaRDI QIDQ1900363

Brian E. Forrest, Alain Bélanger

Publication date: 13 January 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1242

zbMATH Keywords

\(C^*\)-algebraunitary representationSchur propertyDunford-Pettis propertylocally compact groupRadon-Nikodým propertyFourier-Stieltjes algebracoefficient function spaces

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Group algebras of locally compact groups (22D15)

Related Items (5)

Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras ⋮ Dual spaces and translation invariant means on group von Neumann algebras ⋮ Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra ⋮ Fixed point property and normal structure for Banach spaces associated to locally compact groups ⋮ Duality between compactness and discreteness beyond Pontryagin duality

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