Exotic closed subideals of algebras of bounded operators

DOI10.1090/proc/16579arXiv2301.09425OpenAlexW4380608830MaRDI QIDQ6154320

Henrik Wirzenius, Hans-Olav Tylli

Publication date: 15 February 2024

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

Full work available at URL: https://arxiv.org/abs/2301.09425

zbMATH Keywords

Banach algebrasideals of operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Ideals and subalgebras (46H10)

Cites Work

• On the structure of tensor products of \(\ell_ p\)-spaces
• On ideals and Lie ideals of compact operators
• The number of closed ideals in \(L(L_p)\)
• Closed ideals in the algebra of compact-by-approximable operators
• Quotient algebras of Banach operator ideals related to non-classical approximation properties
• Ideals in \(L(L_1)\)
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• A characterization of compact linear mappings
• Representations, automorphisms, and derivations of some operator algebras
• Hereditarily indecomposable, separable ℒ _∞ Banach spaces with ℓ₁ dual having few but not very few operators
• Left approximate identities in algebras of compact operators on Banach spaces
• On Perturbations of Fredholm Operators in L p (μ)-Spaces
• Unbounded approximate identities in algebras of compact operators on Banach spaces
• THE QUOTIENT ALGEBRA OF COMPACT-BY-APPROXIMABLE OPERATORS ON BANACH SPACES FAILING THE APPROXIMATION PROPERTY
• Subideals of operators
• Banach spaces for which the space of operators has 2^𝔠closed ideals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item