Commutativity up to a factor for bounded and unbounded operators

Published 23 Jan 2014 in math.FA and math.OA | (1401.5917v2)

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.

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