Skip to main content
Article thumbnail
Location of Repository

$\alpha$-minimal Banach spaces

By Christian Rosendal

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

Topics: Mathematics - Functional Analysis, Mathematics - Logic, 46B03, 03E15
Year: 2011
OAI identifier: oai:arXiv.org:1104.3543
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.3543 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.