2 citations · 5 across the 9 of their papers we have counts for
6 papers · 1 filter
On commutators of square-zero Hilbert space operators
Laurent W. Marcoux, Heydar Radjavi, Yuanhang Zhang
Let be a complex, separable Hilbert space, and set NIL. When …
Stability relations for Hilbert space operators and a problem of Kaplansky
Laurent W. Marcoux, Heydar Radjavi, Sascha Troscheit +1
In his monograph on Infinite Abelian Groups, I. Kaplansky raised three ``test problems" concerning their structure and multiplicity. As noted by Azoff, these problems make sense fo…
On the power set of quasinilpotent operators
Youqing Ji, Yuanhang Zhang
For a quasinilpotent operator on a separable Hilbert space , Douglas and Yang define $k_x=\limsup\limits_{λ\rightarrow 0}\frac{\ln\|(λ-T)^{-1}x\|}{\ln\|(λ-T)^{-1}\…
Around the closures of the set of commutators and the set of differences of idempotent elements of
Laurent W. Marcoux, Heydar Radjavi, Yuanhang Zhang
We describe the norm-closures of the set of commutators of idempotent operators and the set of differences of idempotent…
Operators which are polynomially isometric to a normal operator
Laurent W. Marcoux, Yuanhang Zhang
Let be a complex, separable Hilbert space and denote the algebra of all bounded linear operators acting on . Given a unitarily…
Normal operators with highly incompatible off-diagonal corners
Laurent W. Marcoux, Heydar Radjavi, Yuanhang Zhang
Let be a complex, separable Hilbert space, and denote the set of all bounded linear operators on . Given an orthogonal project…