Junsheng Fang

activity

20062023

most citedGroupoid normalizers of tensor products

7 citations · 22 across the 28 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.FA2023

A new version of the Gelfand-Hille theorem

Junsheng Fang, Bingzhe Hou, Chunlan Jiang

Let $X$ be a complex Banach space and $A \in L (X)$ with $σ (A) = {1}$ . We prove that for a vector $x \in X$ , if $∥ (A^{k} + A^{- k}) x ∥ = O (k^{N})$ as…

math.OA2023

On Diximier's averaging theorem for operators in type $II_{1}$ factors

Shilin Wen, Junsheng Fang, Zhaolin Yao

Let $\M$ be a type $I I_{1}$ factor and let $τ$ 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…

A new version of the Gelfand-Hille theorem

On Diximier's averaging theorem for operators in type II1​ factors

On Diximier's averaging theorem for operators in type $II_{1}$ factors