\(\ell^1\)-spreading models in mixed Tsirelson space

DOI10.1007/BF02803500zbMath1081.46007arXivmath/0303375OpenAlexW1988372459MaRDI QIDQ1766472

Wee-Kee Tang, Denny H. Leung

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303375

zbMATH Keywords

Tsirelson's spacespreading modeladmissible treeSchreier sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Other combinatorial set theory (03E05)

Related Items (1)

More mixed Tsirelson spaces that are not isomorphic to their modified versions

Cites Work

• Unnamed Item
• An arbitrarily distortable Banach space
• Modified mixed Tsirelson spaces
• 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
• Examples of asymptotic ℓ₁ Banach spaces
• Distortion and spreading models in modified mixed Tsirelson spaces
• A dichotomy theorem for subsets of the power set of the natural numbers
• The $\ell ^{1}$-indices of Tsirelson type spaces
• Remarks about Schlumprecht space

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