Projections onto translation-invariant subspaces of \(L_ 1(G)\)

DOI10.1016/0022-1236(84)90074-0zbMath0581.43003OpenAlexW2089184712MaRDI QIDQ1068313

Dale E. Alspach, Joseph Max Rosenblatt, Alec L. Matheson

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90074-0

zbMATH Keywords

projectionslocally compact abelian group\(L^ 1({\mathbb{R}})\)complemented translation-\(invariant\) subspaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure of group algebras of LCA groups (22B10)

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Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications ⋮ Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra ⋮ Complemented *-primitive ideals in \(L^ 1\)-algebras of exponential Lie groups and of motion groups ⋮ Separating sets by Fourier-Stieltjes transforms

Cites Work

• Spaces of type \(H^\infty+C\)
• On the existence of approximate identities in ideals of group algebras
• On a strong form of spectral synthesis
• On the coset ring and strong Ditkin sets
• A remark on \(L^ 1\) spaces
• The \(L_ p\) spaces
• On strong Ditkin sets
• Projections onto Translation-Invariant Subspaces of L 1 (R)
• On Projections of L ^∞ (G ) onto Translation-Invariant Subspaces
• Projections onto translation-invariant subspaces of 𝐿^{𝑝}(𝐺)
• Projections and Approximate Identities for Ideals in Group Algebras
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