Operators having selfadjoint squares
Functional Analysis
2014-09-19 v2
Abstract
The main goal of this paper is to show that a (not necessarily densely defined or closed) symmetric operator acting on a real or complex Hilbert space is selfadjoint exactly when is a full range operator.
Cite
@article{arxiv.1403.5914,
title = {Operators having selfadjoint squares},
author = {Zoltán Sebestyén and Zsigmond Tarcsay},
journal= {arXiv preprint arXiv:1403.5914},
year = {2014}
}