Commutativity up to a factor for bounded and unbounded operators

Abstract

In this paper, we further investigate the problem of commutativity up to a factor (or $\lambda$-commutativity) in the setting of bounded and unbounded linear operators in a complex Hilbert space. The results are based on a new approach to the problem. We finish the paper by a conjecture on the commutativity of self-adjoint operators.

08 pages (to appear in Journal of Mathematical Analysis and Applications, Elsevier)

References in corpus (1)

• Unbounded Products of Operators and Connections to Dirac-Type Operators