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arXiv 1007.0544math.FA
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Essential Self-Adjointness of Anti-Commutative Operators

Toshimitsu Takaesu

英文摘要:

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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