Quotients of Banach algebras acting on \(L^{p}\)-spaces

DOI10.1016/j.aim.2016.03.040zbMath1341.47089arXiv1412.3985OpenAlexW1884941227MaRDI QIDQ277981

Eusebio Gardella, Hannes Thiel

Publication date: 2 May 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3985

zbMATH Keywords

\(L^p\)-spaceBanach algebra of \(p\)-pseudofunctionsquotients of Banach algebras

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (11)

Isomorphisms of algebras of convolution operators ⋮ Representations of étale groupoids on \(L^p\)-spaces ⋮ Quantitative \(K\)-theory for Banach algebras ⋮ On the Takai duality for \(L^p\) operator crossed products ⋮ Rigidity of twisted groupoid \(L^p\)-operator algebras ⋮ Group algebras acting on \(L^p\)-spaces ⋮ A modern look at algebras of operators on \(L^p\)-spaces ⋮ Representations of $p$-convolution algebras on $L^q$-spaces ⋮ Banach algebras generated by an invertible isometry of an \(L^p\)-space ⋮ \(L^p\)-operator algebras with approximate identities. I ⋮ Extending representations of Banach algebras to their biduals

Cites Work

• Group algebras acting on \(L^p\)-spaces
• Column and row operator spaces over \(\mathrm{QSL}_p\)-spaces and their use in abstract harmonic analysis
• Banach algebras generated by an invertible isometry of an \(L^p\)-space
• Remarks on contractive projections in \(L_{p}\)-spaces
• Harmonic synthesis for subgroups
• Representation of a quotient of a subalgebra of B(X)
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