Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability
type: Item
instance of: scholarly article
title: Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability
zbMATH Open document ID: 0713.43003
DOI: 10.1007/BF01297760
published in: Monatshefte für Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178469
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 43A20
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 22D15
zbMATH DE Number: 4173626
zbMATH Keywords: locally compact group
zbMATH Keywords: translation invariant subspace
zbMATH Keywords: invariant complement
zbMATH Keywords: bounded approximate units
zbMATH Keywords: amenable
author: Bachir Bekka
MaRDI profile type: Publication
cites work: Approximate identities and factorization in Banach modules
cites work: On Projections of L ∞ (G ) onto Translation-Invariant Subspaces
cites work: Q5562332
cites work: Norm decreasing homomorphisms of group algebras
cites work: Central idempotent measures on connected locally compact groups
cites work: Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups
cites work: Projections and Approximate Identities for Ideals in Group Algebras
cites work: \(L^ 1\)-algebras and Segal algebras
cites work: Q5550081
cites work: Projections onto translation-invariant subspaces of 𝐿^{𝑝}(𝐺)
cites work: Q3293614
cites work: Invariant means on $L^{∞}$
cites work: Homomorphisms and translations in L\(^\infty\)(G)
Recommended article: Complemented subspaces in \(L^\infty(\mathbb{D})\)
Recommended article: Amenability of Locally Compact Groups and Subspaces of L ∞ (G)
Recommended article: Complementation of certain subspaces of \(L_{\infty}(G)\) of a locally compact group
Recommended article: Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups
Recommended article: Complemented Subspaces and Amenability: A Counterexample
Recommended article: Q3752086
Recommended article: Q4716802
Recommended article: Q4317517
Recommended article: Q3646937
Recommended article: Complementarity of subspaces of ℓ_∞ revisited
description: scientific article; zbMATH DE number 4173626