Essential Self-Adjointness of Anti-Commutative Operators

Published 4 Jul 2010 in math.FA | (1007.0544v5)

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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Toshimitsu Takaesu

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