Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability

DOI10.1007/BF01297760zbMath0713.43003MaRDI QIDQ749804

Mohammed El Bachir Bekka

Publication date: 1990

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178469

zbMATH Keywords

locally compact groupamenablebounded approximate unitsinvariant complementtranslation invariant subspace

Mathematics Subject Classification ID

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

On invariant and natural projections ⋮ On L¹-kernels of unitary representations of semisimple Lie groups ⋮ Further properties of \(\ell^p\) dimension ⋮ Relative amenability ⋮ A bipolar property of subgroups and translation invariant closed convex subsets ⋮ Projections on weak*-closed subspace of dual Banach algebras ⋮ On the structure of ideals and multipliers: A unified approach

Cites Work

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• Weak *-closed complemented invariant subspaces of \(L_{\infty}(G)\) and amenable locally compact groups
• Approximate identities and factorization in Banach modules
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• Central idempotent measures on connected locally compact groups
• Norm decreasing homomorphisms of group algebras
• \(L^ 1\)-algebras and Segal algebras
• On Projections of L ^∞ (G ) onto Translation-Invariant Subspaces
• Projections onto translation-invariant subspaces of 𝐿^{𝑝}(𝐺)
• Invariant means on $L^{∞}$
• Projections and Approximate Identities for Ideals in Group Algebras

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