Projectional skeletons and Markushevich bases
Functional Analysis
2019-09-17 v3
Abstract
We prove that Banach spaces with a -projectional skeleton form a -class and deduce that any such space admits a strong Markushevich basis. We provide several equivalent characterizations of spaces with a projectional skeleton and of spaces having a commutative one. We further analyze known examples of spaces with a non-commutative projectional skeleton and compare their behavior with the commutative case. Finally, we collect several open problems.
Cite
@article{arxiv.1805.11901,
title = {Projectional skeletons and Markushevich bases},
author = {Ondřej F. K. Kalenda},
journal= {arXiv preprint arXiv:1805.11901},
year = {2019}
}
Comments
67 pages, references were updated, remark on solution of one questions was added, few minor changes were made