Strictly singular operators in Tsirelson like spaces
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Publication:485999
zbMath1315.46008arXiv1309.4516MaRDI QIDQ485999
Spiros A. Argyros, Pavlos Motakis, Kevin J. Beanland
Publication date: 14 January 2015
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.4516
Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07) Invariant subspaces of linear operators (47A15) Banach sequence spaces (46B45) Asymptotic theory of Banach spaces (46B06)
Related Items (8)
Arbitrarily distortable Banach spaces of higher order ⋮ A dual method of constructing hereditarily indecomposable Banach spaces ⋮ Closed ideals of operators on the Tsirelson and Schreier spaces ⋮ The scalar-plus-compact property in spaces without reflexive subspaces ⋮ Non-asymptotic $\ell_1$ spaces with unique $\ell_1$ asymptotic model ⋮ On the complete separation of asymptotic structures in Banach spaces ⋮ Asymptotically symmetric spaces with hereditarily non-unique spreading models ⋮ The stabilized set of \(p\)'s in Krivine's theorem can be disconnected
Cites Work
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Classes of strictly singular operators and their products
- Banach spaces without minimal subspaces
- Bases and reflexivity of Banach spaces
- Invariant subspaces of completely continuous operators
- Examples of asymptotic ℓ₁ Banach spaces
- Lomonosov's hyperinvariant subspace theorem for real spaces
- A version of the Lomonosov invariant subspace theorem for real Banach spaces
- A Banach space block finitely universal for monotone bases
- A reflexive hereditarily indecomposable space with the hereditary invariant subspace property
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