Essential Self-Adjointness of Anti-Commutative Operators
Functional Analysis
2014-01-28 v5
Abstract
In this article, the self-adjoint extensions of symmetric operators satisfying anti-commutation relations are considered. It is proven that an anti-commutative type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered.
Keywords
Cite
@article{arxiv.1007.0544,
title = {Essential Self-Adjointness of Anti-Commutative Operators},
author = {Toshimitsu Takaesu},
journal= {arXiv preprint arXiv:1007.0544},
year = {2014}
}