3 papers
math.OA2023
On Diximier's averaging theorem for operators in type factors
Shilin Wen, Junsheng Fang, Zhaolin Yao
Let $\M$ be a type factor and let be the faithful normal tracial state on $\M$. In this paper, we prove that given finite elements $X_1,\cdots X_n \in \M$, there i…
math.OA2018
On irreducible operators in factor von Neumann algebras
Junsheng Fang, Rui Shi, Shilin Wen
Let be a factor von Neumann algebra with separable predual and let . We call an irreducible operator (relative to ) if is an…
math.OA2017
A note on the -numerical radius and the -Aluthge transform in finite factors
Xiaoyan Zhou, Junsheng Fang, Shilin Wen
We prove that for any two elements , in a factor , if commutes with all the unitary conjugates of , then either or is in . Then we obtain an e…