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- W1528845093 abstract "We prove that if a Banach space with a bimonotone shrinking basis does not contain $ell _{1}^{omega }$ spreading models but every block sequence of the basis contains a further block sequence which is a $c-ell _{1}^{n}$ spreading model for every $nin mathbb {N}$, then every subspace has a further subspace which is arbitrarily distortable. We also prove that a mixed Tsirelson space $T[(mathcal {S}_{n},theta _{n})_{n}]$, such that $theta _{n}searrow 0$, does not contain $ell _{1}^{omega 2}$ spreading models." @default.
- W1528845093 created "2016-06-24" @default.
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- W1528845093 date "2002-11-14" @default.
- W1528845093 modified "2023-09-23" @default.
- W1528845093 title "Some remarks on spreading models and mixed Tsirelson spaces" @default.
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- W1528845093 doi "https://doi.org/10.1090/s0002-9939-02-06832-6" @default.
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