On asymptotic models in Banach spaces

DOI10.1007/BF02787552zbMath1064.46008arXivmath/0110146MaRDI QIDQ1885596

Lorenz Halbeisen, Edward Odell

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0110146

zbMATH Keywords

Banach spacesbasisspreading modelsasymptotic modelsblock basis

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Ramsey theory (05D10)

Related Items (14)

The complete separation of the two finer asymptotic structures for < ⋮ On spreading sequences and asymptotic structures ⋮ Finite order spreading models ⋮ Unnamed Item ⋮ An extension of Schreier unconditionality ⋮ Joint spreading models and uniform approximation of bounded operators ⋮ Schauder bases having many good block basic sequences ⋮ Non-asymptotic $\ell_1$ spaces with unique $\ell_1$ asymptotic model ⋮ Ramsey property and block oscillation stability on normalized sequences in Banach spaces ⋮ On the complete separation of asymptotic structures in Banach spaces ⋮ A NEW COARSELY RIGID CLASS OF BANACH SPACES ⋮ Asymptotically symmetric spaces with hereditarily non-unique spreading models ⋮ Towards a characterization of the property of Lebesgue ⋮ The geometry of Hamming-type metrics and their embeddings into Banach spaces

Cites Work

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• Uniformly non-square Banach spaces
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• A reflexive Banach space which is not sufficiently Euclidean
• Asymptotic properties of Banach spaces under renormings
• A Banach space block finitely universal for monotone bases
• On the Structure of the Spreading Models of a Banach Space

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