A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space

DOI10.1016/J.JFA.2016.05.019zbMath1370.46029arXiv1603.04275OpenAlexW2301501931WikidataQ107657519 ScholiaQ107657519MaRDI QIDQ322380

Tomasz Kania, Niels Jakob Laustsen, Richard Skillicorn

Publication date: 7 October 2016

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

Full work available at URL: https://arxiv.org/abs/1603.04275

zbMATH Keywords

Banach algebraBanach spaceshort exact sequenceadmissible extensionalgebraic splittingsingular extension

Mathematics Subject Classification ID

Automatic continuity (46H40) Banach sequence spaces (46B45) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Ideals and subalgebras (46H10) Extensions of associative rings by ideals (16S70)

Cites Work

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• Homomorphisms and derivations from \({\mathcal B}(E)\)
• Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space
• Continuity of Derivations, Intertwining Maps, and Cocycles from Banach Algebras
• Discontinuous Derivations on the Algebra of Bounded Operators on a Banach Space
• Projections in certain Banach spaces
• Algebraic and strong splittings of extensions of Banach algebras
• The Wedderburn Decomposition of Banach Algebras with Finite Dimensional Radical

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