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math.OA2019
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…
math.OA2019
Reducible operators in non- type factors
Junhao Shen, Rui Shi
A famous question of Halmos asks whether every operator on a separable infinite-dimensional Hilbert space is a norm limit of reducible operators. In [30], Voiculescu gave this prob…