3 papers
math.RA2026
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…
math.FA2025
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 …
math.OA2025
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…