Rui Shi

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math.OA2026

Operators with disconnected spectrum in von Neumann algebras

Minghui Ma, Rui Shi, Tianze Wang

Let $M$ be a von Neumann algebra, $I$ a weak-operator dense ideal in $M$ , and $Φ$ a unitarily invariant $∥ \cdot ∥$ -dominating norm on $I$ .…

math.OA2025

Products of irreducible operators in factors

Minghui Ma, Junhao Shen, Rui Shi +1

Let $M$ be a separable factor. An operator $T$ in $M$ is said to be irreducible in $M$ if the von Neumann algebra $W^{*} (T)$ generated by $T$ is an irred…

math.OA2025

Irreducible operators in von Neumann algebras

Sukitha Adappa, Minghui Ma, Junhao Shen +2

Let $M$ be a separable von Neumann algebra with center $Z (M)$ . An operator $T$ in $M$ is called irreducible if the von Neumann algebra $W^*(…

math.OA2025

Density of irreducible operators in the trace-class norm

Junsheng Fang, Chunlan Jiang, Minghui Ma +3

In 1968, Paul Halmos initiated the research on density of the set of irreducible operators on a separable Hilbert space. Through the research, a long-standing unsolved problem inqu…