Schauder Bases and Operator Theory
Functional Analysis
2012-03-19 v1
Abstract
In this paper, we firstly give a matrix approach to the bases of a separable Hilbert space and then correct a mistake appearing in both review and the English translation of the Olevskii's paper. After this, we show that even a diagonal compact operator may map an orthonormal basis into a conditional basis.
Cite
@article{arxiv.1203.3603,
title = {Schauder Bases and Operator Theory},
author = {Yang Cao and Geng Tian and Bingzhe Hou},
journal= {arXiv preprint arXiv:1203.3603},
year = {2012}
}
Comments
17 pages