Complementation of certain subspaces of \(L_{\infty}(G)\) of a locally compact group

DOI10.2140/pjm.1990.141.295zbMath0726.43006OpenAlexW2087887121MaRDI QIDQ803860

Anthony To-Ming Lau, Viktor Losert

Publication date: 1990

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.141.295

zbMATH Keywords

locally compact groupuniform distributioncontinuous projectioncontinuous weakly almost periodic functionsfinite-dimensional continuous unitary representationsleft translations

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (11)

ON HOMOLOGICAL PROPERTIES FOR SOME MODULES OF UNIFORMLY CONTINUOUS FUNCTIONS OVER CONVOLUTION ALGEBRAS ⋮ Locally convex algebras which determine a locally compact group ⋮ Invariant subsets and homological properties of Orlicz modules over group algebras ⋮ Topologically projective, injective and flat modules of harmonic analysis ⋮ Projections onto invariant subspaces of some Banach algebras ⋮ Projections on weak*-closed subspace of dual Banach algebras ⋮ Compact quantum subgroups and left invariant \(C^*\)-subalgebras of locally compact quantum groups ⋮ Normal Structure in Dual Banach Spaces Associated With a Locally Compact Group ⋮ A generalized Kakutani-Kodaira theorem ⋮ Hypergroups and invariant complemented subspaces ⋮ Weakly almost periodic topologies, idempotents and ideals

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