A Contribution to the Fong-Tsui Conjecture Related to Self-adjoint Operators
Functional Analysis
2012-08-22 v1
Abstract
We are interested in an open question raised by Fong-Tsui (dating back to the beginning of the eighties of last century) as to whether a bounded operator whose absolute value is less than the absolute value of its real part is self-adjoint. The analogue in the unbounded operators setting is also treated.
Keywords
Cite
@article{arxiv.1208.4346,
title = {A Contribution to the Fong-Tsui Conjecture Related to Self-adjoint Operators},
author = {Mohammed Hichem Mortad},
journal= {arXiv preprint arXiv:1208.4346},
year = {2012}
}