Commutativity up to a factor for bounded and unbounded operators

2014/01/23 by Chellali, Chérifa, Mortad, Mohammed Hichem
#47A05 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1401.5917

Abstract

In this paper, we further investigate the problem of commutativity up to a factor (or λ-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.

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