Banach spaces without local unconditional structure
Functional Analysis
2016-09-06 v1
Abstract
For a large class of Banach spaces, a general construction of subspaces without local unconditional structure is presented. As an application it is shown that every Banach space of finite cotype contains either or a subspace without unconditional basis, which admits a Schauder basis. Some other interesting applications and corollaries follow.
Keywords
Cite
@article{arxiv.math/9306211,
title = {Banach spaces without local unconditional structure},
author = {R. Komowski and Nicole Tomczak-Jaegermann},
journal= {arXiv preprint arXiv:math/9306211},
year = {2016}
}