On the commutativity of closed symmetric operators

TL;DR

This paper establishes conditions under which a bounded self-adjoint operator commutes with an unbounded closed symmetric operator, contributing to the understanding of operator commutativity in functional analysis.

Contribution

It provides new criteria for the commutativity of bounded self-adjoint and unbounded closed symmetric operators, advancing theoretical knowledge in operator theory.

Findings

Derived conditions ensuring commutativity between operators

Extended understanding of operator interactions in Hilbert spaces

Potential applications in quantum mechanics and spectral theory

Abstract

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