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$alpha$-minimal Banach spaces | | Christian Rosendal
; | | Date: |
18 Apr 2011 | | Abstract: | A Banach space with a Schauder basis is said to be $alpha$-minimal for some
countable ordinal $alpha$ if, for any two block subspaces, the Bourgain
embeddability index of one into the other is at least $alpha$. We prove a
dichotomy that characterises when a Banach space has an $alpha$-minimal
subspace, which contributes to the ongoing project, initiated by W. T. Gowers,
of classifying separable Banach spaces by identifying characteristic subspaces. | | Source: | arXiv, 1104.3543 | | Services: | Forum | Review | PDF | Favorites | |
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