On the number of non isomorphic subspaces of a Banach space
Functional Analysis
2014-02-25 v2 Logic
Abstract
If a Banach space has an unconditional basis it either contains a continuum of non isomorphic subspaces or is isomorphic to its square and hyperplanes and satisfies other regularity properties. An HI Banach space contains a continuum of non isomorphic subspaces.
Cite
@article{arxiv.math/0201072,
title = {On the number of non isomorphic subspaces of a Banach space},
author = {Valentin Ferenczi and Christian Rosendal},
journal= {arXiv preprint arXiv:math/0201072},
year = {2014}
}