Junhao Shen

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4 papers · 1 filter

math.OA2026

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…

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

Voiculescu's Theorem in Properly Infinite Factors

Donald Hadwin, Minghui Ma, Junhao Shen

In this paper, we investigate Voiculescu's theorem on approximate unitary equivalence in separable properly infinite factors. As applications, we establish the norm-denseness of th…