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- W971514232 abstract "For any closed subset $F$ of $[1,infty]$ which is either finite or consists of the elements of an increasing sequence and its limit, a reflexive Banach space $X$ with a 1-unconditional basis is constructed so that in each block subspace $Y$ of $X$, $ell_p$ is finitely block represented in $Y$ if and only if $p in F$. In particular, this solves the question as to whether the stabilized Krivine set for a Banach space had to be connected. We also prove that for every infinite dimensional subspace $Y$ of $X$ there is a dense subset $G$ of $F$ such that the spreading models admitted by $Y$ are exactly the $ell_p$ for $pin G$." @default.
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- W971514232 date "2015-08-01" @default.
- W971514232 modified "2023-09-29" @default.
- W971514232 title "The stabilized set of p's in Krivine's theorem can be disconnected" @default.
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- W971514232 doi "https://doi.org/10.1016/j.aim.2015.05.005" @default.
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