Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896609 | Journal of Functional Analysis | 2018 | 26 Pages |
Abstract
Given a complex, separable Hilbert space H, we characterize those operators for which âPT(IâP)â=â(IâP)TPâ for all orthogonal projections P on H. When H is finite-dimensional, we also obtain a complete characterization of those operators for which rank(IâP)TP=rankPT(IâP) for all orthogonal projections P. When H is infinite-dimensional, we show that any operator with the latter property is normal, and its spectrum is contained in either a line or a circle in the complex plane.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
L. Livshits, G. MacDonald, L.W. Marcoux, H. Radjavi,