Commutativity up to a factor for bounded and unbounded operators
Functional Analysis
2014-04-28 v2 Operator Algebras
Abstract
In this paper, we further investigate the problem of commutativity up to a factor (or -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.
Cite
@article{arxiv.1401.5917,
title = {Commutativity up to a factor for bounded and unbounded operators},
author = {Chérifa Chellali and Mohammed Hichem Mortad},
journal= {arXiv preprint arXiv:1401.5917},
year = {2014}
}
Comments
08 pages (to appear in Journal of Mathematical Analysis and Applications, Elsevier)