Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications

DOI10.1090/S0002-9947-2014-06336-8zbMath1312.46050OpenAlexW2061032104MaRDI QIDQ3190413

Anthony To-Ming Lau, Ali Ülger

Publication date: 17 September 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-06336-8

zbMATH Keywords

idempotentcommutative Banach algebrasmultiplierArens productFourier algebraFourier-Stieltjes algebraclosed idealgroup von Neumann algebrabounded approximate identitycoset ringinvariant complementation

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Structure, classification of topological algebras (46H20) Lists of open problems (00A27)

Related Items

On invariant and natural projections ⋮ Trivolutive Banach algebras and their closed ideals ⋮ Closed ideals with bounded approximate identities in some Banach algebras ⋮ On the size of orbits in the duals of 𝐶*-algebras and convolution algebras ⋮ Invariance and normality of projections in the dual of Banach algebras

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