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- W1924574842 abstract "For each $n in mathbb{N}$ a Banach space $mathfrak{X}_{0,1}^n$ is constructed is having the property that every normalized weakly null sequence generates either a $c_0$ or $ell_1$ spreading models and every infinite dimensional subspace has weakly null sequences generating both $c_0$ and $ell_1$ spreading models. The space $mathfrak{X}_{0,1}^n$ is also quasiminimal and for every infinite dimensional closed subspace $Y$ of $mathfrak{X}_{0,1}^n$, for every $S_1,S_2,ldots,S_{n+1}$ strictly singular operators on $Y$, the operator $S_1S_2cdots S_{n+1}$ is compact. Moreover, for every subspace $Y$ as above, there exist $S_1,S_2,ldots,S_n$ strictly singular operators on $Y$, such that the operator $S_1S_2cdots S_n$ is non-compact." @default.
- W1924574842 created "2016-06-24" @default.
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- W1924574842 date "2013-09-18" @default.
- W1924574842 modified "2023-09-27" @default.
- W1924574842 title "Strictly singular operators in Tsirelson like spaces" @default.
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