On the commutativity of closed symmetric operators

2022/03/14 by Dehimi, Souheyb, Mortad, Mohammed Hichem, Bachir, Ahmed
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2203.07266

Abstract

In this article, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetric operator.

Related

• Unbounded generalizations of the Fuglede-Putnam theorem and applications to the commutativity of self-adjoint operators
• Commutativity up to a factor for bounded and unbounded operators
• Conditions Implying Commutativity of Unbounded Self-adjoint Operators and Related Topics
• Counterexamples Related to Commutators of Unbounded Operators
• Essential Self-Adjointness of Anti-Commutative Operators