Invariantly complemented subspaces of \(L_\infty\)(G) and amenable locally compact groups

zbMath0486.43002MaRDI QIDQ1164816

Anthony To-Ming Lau

Publication date: 1982

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

zbMATH Keywords

Banach algebracomplemented subspaceleft translation invariant subspaceamenable locally compact groupweak*-closed

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (11)

Weak amenability of Banach algebras on locally compact groups ⋮ Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications ⋮ Harmonic operators: the dual perspective ⋮ On invariant and natural projections ⋮ Closed ideals with bounded approximate identities in some Banach algebras ⋮ Complemented Subspaces and Amenability: A Counterexample ⋮ Projections onto invariant subspaces of some Banach algebras ⋮ Projections on weak*-closed subspace of dual Banach algebras ⋮ Diagonalization of operators and complementation of subspaces of Banach spaces ⋮ Fixed point properties, invariant means and invariant projections related to hypergroups ⋮ Hypergroups and invariant complemented subspaces

This page was built for publication: Invariantly complemented subspaces of \(L_\infty\)(G) and amenable locally compact groups