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arXiv · 2201.10604

Unbounded generalizations of the Fuglede-Putnam theorem and applications to the commutativity of self-adjoint operators

Souheyb Dehimi·Mohammed Hichem Mortad·Ahmed Bachir
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Abstract

In this article, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem. As applications, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetric operator.

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Souheyb Dehimi, Mohammed Hichem Mortad, Ahmed Bachir. 2022-01-25. Unbounded generalizations of the Fuglede-Putnam theorem and applications to the commutativity of self-adjoint operators. https://arxiv.org/abs/2201.10604

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