Invariant subspaces of some function spaces on a locally compact group

DOI10.1016/0022-1236(85)90064-3zbMath0583.43002OpenAlexW2051664086MaRDI QIDQ1070157

Rodney Nillsen

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90064-3

zbMATH Keywords

locally compact grouptranslationsconvolution invariant subspacestranslation invariant subspaces

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

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• On Banach's generalized limits
• Invariant means for the bounded measurable functions on a non-discrete locally compact group
• Invariant means and invariant ideals in \(L_\infty (G)\) for a locally compact group \(G\)
• Projections of uniqueness for L\(^p\)(G)
• Convergence in topology
• Applications of the Baire-category method to the problem of independent sets
• Invariant Means on the Continuous Bounded Functions
• Criteria for Compactness and for Discreteness of Locally Compact Amenable Groups
• Invariant means on $L^{∞}$

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