8 citations · 20 across the 13 of their papers we have counts for
18 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…
On products of symmetries acting on Hilbert spaces
Laurent W. Marcoux, Heydar Radjavi, Yuanhang Zhang
Let be a complex, separable Hilbert space (of finite or infinite dimension), and let denote the group of unitary operators on …
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…
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…