A Classification of Tsirelson Type Spaces

DOI10.4153/CJM-2008-049-0zbMath1160.46008arXivmath/0510410OpenAlexW2059500221MaRDI QIDQ3529904

Jordi López-Abad, Antonis Manoussakis

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0510410

zbMATH Keywords

Ramsey theorymixed Tsirelson spaceSchreier families\(\ell_1\) spreading modelCantor-Bendixson index \(S_{\omega^\alpha}\)

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Ramsey theory (05D10)

Related Items (6)

Positional graphs and conditional structure of weakly null sequences ⋮ Analytic P-ideals and Banach spaces ⋮ On topological properties of families of finite sets ⋮ The cofinal property of the reflexive indecomposable Banach spaces ⋮ More mixed Tsirelson spaces that are not isomorphic to their modified versions ⋮ Quasiminimality in mixed Tsirelson spaces

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