2 citations · 5 across the 9 of their papers we have counts for
10 papers
Fully non-zero matrices and generators of full algebras of operators
Laurent W. Marcoux, Heydar Radjavi, Bamdad R. Yahaghi +1
In a wide variety of fields, every non-scalar matrix is similar to a matrix all of whose entries are non-zero. We give extensions of this result, including some in the division…
Kaplansky's problem and unitary orbits in matrix amplifications
Laurent W. Marcoux, Pawel Sarkowicz, Yuanhang Zhang
We study the distances between the unitary orbits of matrix amplifications of elements in certain C*-algebras. In particular, we show that the distance between unitary orbits of ar…
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…
Stable homotopy, 1-dimensional NCCW complexes, and Property (H)
Qingnan An, George A. Elliott, Zhichao Liu +1
In this paper, we show that the homomorphisms between two unital one-dimensional NCCW complexes with the same KK-class are stably homotopic, i.e., with adding on a common homomorph…
On the Classification of Certain Real Rank Zero -Algebras
Qingnan An, Zhichao Liu, Yuanhang Zhang
In this paper, a classification is given of real rank zero -algebras that can be expressed as inductive limits of a sequence of a subclass of Elliott-Thomsen algebras $\mathca…