Compositions of projections in Banach spaces and relations between approximation properties
Functional Analysis
2008-11-12 v1
Abstract
A necessary and sufficient condition for existence of a Banach space with a finite dimensional decomposition but without the -property in terms of norms of compositions of projections is found.
Cite
@article{arxiv.0811.1763,
title = {Compositions of projections in Banach spaces and relations between approximation properties},
author = {M. I. Ostrovskii},
journal= {arXiv preprint arXiv:0811.1763},
year = {2008}
}