Rui Shi

collaborators

6 papers

math.FA2026

Kaplansky's second test problem in operator algebras

Chunlan Jiang, Minghui Ma, Rui Shi +1

Kaplansky's second test problem on similarity asks: if $T$ and $S$ are elements in a unital Banach algebra $B$ and $T \oplus T$ is similar to $S \oplus S$ in $\mathbb{M}_2(…

quant-ph2026

Bargmann invariants and local unitary equivalence

Minghui Ma, Rui Shi

In this paper, we study the local unitary equivalence of quantum states on $C^{n} \otimes C^{n}$ , which is an important notion in quantum information theory. For the ca…

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.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 $I^¦$ 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^*(…