On constructions of strong and uniformly minimal M-bases in Banach spaces
Functional Analysis
2016-09-07 v1
Abstract
We find a natural class of transformations ("flattened perturbations") of a norming M-basis in a Banach space X, which give a strong norming M-basis in X. This simplifies and generalizes the positive answer to the "strong M-basis problem" solved by P. Terenzi. We also show that in general one cannot achieve uniformly minimality applying standard transformations to a given norming M-basis, despite of the existence in X a uniformly minimal strong M-bases.
Cite
@article{arxiv.math/9804066,
title = {On constructions of strong and uniformly minimal M-bases in Banach spaces},
author = {Roman Vershynin},
journal= {arXiv preprint arXiv:math/9804066},
year = {2016}
}
Comments
10 pages