The $\ell ^{1}$-indices of Tsirelson type spaces

DOI10.1090/S0002-9939-02-06586-3zbMath1033.46005arXivmath/0102175OpenAlexW1923741966MaRDI QIDQ4779856

Denny H. Leung, Wee-Kee Tang

Publication date: 28 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/0102175

zbMATH Keywords

Tsirelson space\(\ell^{1}\)-index

Mathematics Subject Classification ID

Trees (05C05) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (3)

The Bourgain \(\ell^{1}\)-index of mixed Tsirelson space ⋮ Operators on $C(K)$ spaces preserving copies of Schreier spaces ⋮ \(\ell^1\)-spreading models in mixed Tsirelson space

Cites Work

• On Tsirelson's space
• Convex unconditionality and summability of weakly null sequences
• Concerning Bourgain's \(\ell_1\)-index of a Banach space
• Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces
• The Bourgain \(\ell^{1}\)-index of mixed Tsirelson space
• The Szlenk index and local \(\ell_1\)-indices
• A dichotomy theorem for subsets of the power set of the natural numbers
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