Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups

DOI10.2140/pjm.1986.123.149zbMath0591.43004OpenAlexW1497710828MaRDI QIDQ1074804

Viktor Losert, Anthony To-Ming Lau

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2140/pjm.1986.123.149

zbMATH Keywords

von Neumann algebralocally compact groupmodular functionnetamenable groupFourier algebraBanach G-modulecontinuous projectioninvariant closed complementinvariantly complementedleft translation invariant subspaceweak *-closed

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Means on groups, semigroups, etc.; amenable groups (43A07) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (14)

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 ⋮ Multipliers and modulus on Banach algebras related to locally compact groups ⋮ On invariant and natural projections ⋮ Closed ideals with bounded approximate identities in some Banach algebras ⋮ Ideals with bounded approximate identities in Fourier algebras. ⋮ A bipolar property of subgroups and translation invariant closed convex subsets ⋮ Complemented Subspaces and Amenability: A Counterexample ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Projections on weak*-closed subspace of dual Banach algebras ⋮ Fixed point properties, invariant means and invariant projections related to hypergroups ⋮ Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability ⋮ On the structure of ideals and multipliers: A unified approach ⋮ A separation property of positive definite functions on locally compact groups and applications to Fourier algebras

This page was built for publication: Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups