3 citations · 12 across the 18 of their papers we have counts for
11 papers · 1 filter
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 …
Invariant embeddings and ergodic obstructions
Mitja Mastnak, Heydar Radjavi
We consider the following question: Let be an abelian self-adjoint algebra of bounded operators on a Hilbert space . Assume that is invaria…
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…
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…