The $\ell ^{1}$-index of Tsirelson type spaces

Details The $\ell ^{1}$-index of Tsirelson type spaces The $\ell ^{1}$-index of Tsirelson type spaces

2001-02-22

arxiv.org/abs/math/0102175v1

Mathematics

Functional Analysis

Scientific paper

If \alpha and \beta are countable ordinals such that \beta \neq 0, denote by \tilde{T}_{\alpha,\beta} the completion of $c_{00}$ with respect to the implicitly defined norm ||x|| = max{||x||_{c_{0}}, 1/2 sup \sum_{i=1}^{j}||E_{i}x||}, where the supremum is taken over all finite subsets E_{1},...,E_{j} of $\mathbb{N}$ such that $E_{1}<...

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