A note on the relationship between the Szlenk and $w^*$-dentability indices of arbitrary $w^*$-compact sets
Functional Analysis
2016-08-15 v1
Abstract
We prove the optimal estimate between the Szlenk and -dentability indices of an arbitrary -compact subset of the dual of a Banach space. For a given -compact, convex subset of the dual of a Banach space, we introduce a two player game the winning strategies of which determine the Szlenk index of . We give applications to the -dentability index of a Banach space and of an operator.
Keywords
Cite
@article{arxiv.1608.03668,
title = {A note on the relationship between the Szlenk and $w^*$-dentability indices of arbitrary $w^*$-compact sets},
author = {Ryan M Causey},
journal= {arXiv preprint arXiv:1608.03668},
year = {2016}
}