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

2022/01/25 by Souheyb Dehimi, Dehimi, Souheyb, Mohammed Hichem Mortad +3
Mathematics · Physics and Astronomy · #47A08 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47B25. Secondary 47B15 #Quantum optics and atomic interactions #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2201.10604

openalex publication_date 2022/01/25 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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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