arXiv:1106.0472 Abstract | arXiv Analytics

arXiv:1106.0472 [math.FA]Abstract References Reviews Resources

Characterising subspaces of Banach spaces with a Schauder basis having the shift property

Published 2011-06-02Version 1

We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.

Categories: math.FA

Subjects: 46B03

Keywords: schauder basis, shift property, characterising subspaces, intrinsic characterisation, separable reflexive banach spaces

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