A Banach space with an infinite dimensional reflexive quotient algebra \(\mathcal{L}(X) / \mathcal{SS}(X)\)
From MaRDI portal
Publication:2699229
DOI10.1016/j.aim.2023.108995OpenAlexW4361278403MaRDI QIDQ2699229
Publication date: 26 April 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10170
Spaces of operators; tensor products; approximation properties (46B28) Algebras of operators on Banach spaces and other topological linear spaces (47L10)
Cites Work
- Unnamed Item
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- An arbitrarily distortable Banach space
- Banach spaces with small spaces of operators
- Ramsey methods in analysis
- A construction of a Banach space \(C(K)\) with few operators
- Banach spaces of continuous functions with few operators
- Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras
- A hierarchy of Banach spaces with C(K) Calkin algebras
- Examples of asymptotic ℓ₁ Banach spaces
- The Unconditional Basic Sequence Problem
- Hereditarily finitely decomposable Banach spaces
- Strictly singular non-compact operators on a class of HI spaces
- Ideal structure of the algebra of bounded operators acting on a Banach space
This page was built for publication: A Banach space with an infinite dimensional reflexive quotient algebra \(\mathcal{L}(X) / \mathcal{SS}(X)\)
