34 citations · 39 across the 5 of their papers we have counts for
5 papers
Harnack parts for some truncated shifts
Gilles Cassier, Mohammed Benharrat
The purpose of this paper is to analysis the Harnack part of some truncated shifts whose -numerical radius equal one in the finite dimensional case. As pointed out in Theorem 1.…
HARNACK parts of -Contractions
Gilles Cassier, Mohammed Benharrat, Soumia Belmouhoub
The purpose of this paper is to describe the Harnack parts for the operators of class C ( \textgreater{} 0) on Hilbert spaces which were introduced by B. Sz. Nagy and C. Foi…
Extended spectrum and extended eigenspaces of quasi-normal operators
Gilles Cassier, Hasan Alkanjo
We say that a complex number is an extended eigenvalueof a bounded linear operator T on a Hilbert space H if there exists anonzero bounded linear operator X acting on H, called…
Constrained von Neumann inequalities
Catalin Badea, Gilles Cassier
An equivalent formulation of the von Neumann inequality states that the backward shift on is extremal, in the sense that if is a Hilbert space contraction, the…
Semigroups in finite von Neumann algebras
Gilles Cassier
Let be a finite von Neumann algebra. In the first part, we give asymptotic results about -stable sequences of weak*-continuous mappings which are related with operators belo…