10 citations · 18 across the 5 of their papers we have counts for
8 papers
Normed ideal perturbation of irreducible operators in semifinite von Neumann factors
Rui Shi
In [10], Halmos proved an interesting result that the set of irreducible operators is dense in in the sense of Hilbert-Schmidt approximation. In a von Neum…
On irreducible operators in factor von Neumann algebras
Junsheng Fang, Rui Shi, Shilin Wen
Let be a factor von Neumann algebra with separable predual and let . We call an irreducible operator (relative to ) if is an…
Approximate equivalence of representations of AH algebras into semifinite von Neumann factors
Junhao Shen, Rui Shi
In this paper, we prove a non-commutative version of the Weyl-von Neumann theorem for representations of unital, separable AH algebras into countably decomposable, semifinite, prop…
A note on the Voiculescu's theorem for commutative C-algebras in semifinite von Neumann algebras
Don Hadwin, Rui Shi
In the current paper, we generalize the "compact operator" part of the Voiculescu's non-commutative Weyl-von Neumann theorem on approximate equivalence of unital -homomorphisms…
Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem
Qihui Li, Junhao Shen, Rui Shi +1
In the paper, we prove an analogue of the Kato-Rosenblum theorem in a semifinite von Neumann algebra. Let be a countably decomposable, properly infinite, semifinite v…
A generalization of the Voiculescu theorem for normal operators in semifinite von Neumann algebras
Qihui Li, Junhao Shen, Rui Shi
In this paper, we provide a generalized version of the Voiculescu theorem for normal operators by showing that, in a von Neumann algebra with separable pre-dual and a faithful norm…