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Essential Self-Adjointness of Anti-Commutative Operators

2010/07/04 by Takaesu, Toshimitsu
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1007.0544

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.

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