Minghui Ma

collaborators

Showing math.OAShow all

3 papers · 1 filter

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

Ortho-isomorphisms of von Neumann algebras

Minghui Ma, Weijuan Shi

Suppose $M$ and $N$ are von Neumann algebras. Two operators $A$ and $B$ in $M$ are said to be orthogonal if $A^{*} B = 0$ , meaning their ranges are orthogonal…

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…