Essential Self-Adjointness of Anticommutative Operators

The self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered.

Bibliographic Details
Main Author: Toshimitsu Takaesu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/265349