Modified mixed Tsirelson spaces
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Publication:1273944
DOI10.1006/jfan.1998.3310zbMath0931.46017arXivmath/9704215OpenAlexW2009020790MaRDI QIDQ1273944
Irene Deliyanni, Spiros A. Argyros, Denka Kutzarova, Antonis Manoussakis
Publication date: 23 February 2000
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9704215
unconditional basisessentially reflexive asymptotic \(\ell_1\)-spacesmodified mixed Tsirelson spaces
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Cites Work
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- On Tsirelson's space
- An arbitrarily distortable Banach space
- Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
- Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
- Distorting mixed Tsirelson spaces
- The distortion problem
- Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces
- Banach spaces of type \(p\) have arbitrarily distortable subspaces
- A new dichotomy for Banach spaces
- Examples of asymptotic ℓ₁ Banach spaces
- The Unconditional Basic Sequence Problem
- A reflexive Banach space which is not sufficiently Euclidean
- Interpolating hereditarily indecomposable Banach spaces