A problem on spreading models

DOI10.1006/jfan.1997.3191zbMath0909.46012OpenAlexW1971328475MaRDI QIDQ1269616

Edward Odell, Thomas Schlumprecht

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3191

zbMATH Keywords

Tsirelson's spacespreading modelnormalized basic sequencenormalized block basis

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (12)

A dichotomy theorem for subsets of the power set of the natural numbers ⋮ 2000 Annual Meeting of the Association for Symbolic Logic ⋮ On asymptotic models in Banach spaces ⋮ Some remarks on spreading models and mixed Tsirelson spaces ⋮ On spreading sequences and asymptotic structures ⋮ On S₁-strictly singular operators ⋮ Unconditional structures of weakly null sequences ⋮ Schauder bases having many good block basic sequences ⋮ 2000 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium 2000 ⋮ Asymptotic properties of Banach spaces under renormings ⋮ Lattice structures and spreading models ⋮ On approximate \(\ell_1\) systems in Banach spaces

Cites Work

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• On Tsirelson's space
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Convex unconditionality and summability of weakly null sequences
• Distorting mixed Tsirelson spaces
• Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces
• Uniformly non-square Banach spaces
• Examples of asymptotic ℓ₁ Banach spaces
• A new proof that analytic sets are Ramsey
• A Characterization of Banach Spaces Containing l ¹
• Asymptotic properties of Banach spaces under renormings

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