2 papers
math.OA2026
The similarity of irreducible operators in factors
Minghui Ma, Rui Shi, Shanshan Yang
An operator in a separable factor is said to be irreducible in if the von Neumann subalgebra generated by is an irreducible subfactor o…
math.OA2025
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…