On the complete separation of asymptotic structures in Banach spaces
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Publication:2287950
DOI10.1016/j.aim.2019.106962zbMath1444.46011arXiv1902.10092OpenAlexW2999424328WikidataQ126387017 ScholiaQ126387017MaRDI QIDQ2287950
Pavlos Motakis, Spiros A. Argyros
Publication date: 22 January 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.10092
Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach sequence spaces (46B45) Asymptotic theory of Banach spaces (46B06)
Related Items (7)
The complete separation of the two finer asymptotic structures for < ⋮ Separable spaces of continuous functions as Calkin algebras ⋮ On injective tensor powers of \(\ell_1\) ⋮ Joint spreading models and uniform approximation of bounded operators ⋮ Non-asymptotic $\ell_1$ spaces with unique $\ell_1$ asymptotic model ⋮ Asymptotically symmetric spaces with hereditarily non-unique spreading models ⋮ Towards a characterization of the property of Lebesgue
Cites Work
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- A dual method of constructing hereditarily indecomposable Banach spaces
- Strictly singular operators in Tsirelson like spaces
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Asymptotic \(l_p\) hereditarily indecomposable Banach spaces
- Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
- Sous-espaces de dimension finie des espaces de Banach reticules
- Convex unconditionality and summability of weakly null sequences
- On asymptotic structure, the Szlenk index and UKK properties in Banach spaces
- On asymptotic models in Banach spaces
- The stabilized set of \(p\)'s in Krivine's theorem can be disconnected
- A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases
- Examples of asymptotic ℓ₁ Banach spaces
- Trees and branches in Banach spaces
- Joint spreading models and uniform approximation of bounded operators
- A NEW COARSELY RIGID CLASS OF BANACH SPACES
- OnB-convex Banach spaces
- On Subspaces of c0 and Extension of Operators into C(K)-Spaces
- On spreading sequences and asymptotic structures
- The coarse geometry of Tsirelson’s space and applications
- Methods in the theory of hereditarily indecomposable Banach spaces
- A Banach space block finitely universal for monotone bases
- Non-asymptotic $\ell_1$ spaces with unique $\ell_1$ asymptotic model
- On asymptotically symmetric Banach spaces
- A reflexive hereditarily indecomposable space with the hereditary invariant subspace property
- On the Structure of the Spreading Models of a Banach Space
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