A Criterion for the Normality of Unbounded Operators and Applications to Self-adjointness
Functional Analysis
2013-01-14 v3 Operator Algebras
Abstract
In this paper we give and prove a criterion for the normality of unbounded closed operators, which is a sort of a maximality result which will be called "double maximality". As applications, we show, under some assumptions, that the sum of two symmetric operators is essentially self-adjoint; and that the sum of two unbounded normal operators is essentially normal. Some other important results are also established.
Keywords
Cite
@article{arxiv.1301.0241,
title = {A Criterion for the Normality of Unbounded Operators and Applications to Self-adjointness},
author = {Mohammed Hichem Mortad},
journal= {arXiv preprint arXiv:1301.0241},
year = {2013}
}
Comments
07 pages