Stabilization of Tsirelson-type norms on ℓ_{𝑝} spaces

DOI10.1090/S0002-9939-06-08599-6zbMath1121.46009arXivmath/0508352OpenAlexW2015719427MaRDI QIDQ3425982

Anna Pelczar-Barwacz

Publication date: 7 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508352

zbMATH Keywords

distortionTsirelson-type spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Cites Work

• Unnamed Item
• Tsirelson superspaces and \(\ell _ p\)
• An arbitrarily distortable Banach space
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Modified mixed Tsirelson spaces
• Distorting mixed Tsirelson spaces
• The distortion problem
• On certain equivalent norms on Tsirelson's space
• Examples of asymptotic ℓ₁ Banach spaces
• A reflexive Banach space which is not sufficiently Euclidean
• Distortion and spreading models in modified mixed Tsirelson spaces
• A NOTE ON CERTAIN EQUIVALENT NORMS ON TSIRELSONS SPACE

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