arXiv 2201.106042022-01-25math.FA

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

Souheyb Dehimi, Mohammed Hichem Mortad, Ahmed Bachir

备注：: 17 pages

英文摘要：

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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