7 citations · 22 across the 28 of their papers we have counts for
29 papers
A new version of the Gelfand-Hille theorem
Junsheng Fang, Bingzhe Hou, Chunlan Jiang
Let be a complex Banach space and with . We prove that for a vector , if as…
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…
On the third problem of Halmos on Banach spaces
Lixin Cheng, Junsheng Fang, Chunlan Jiang
Assume that is a complex separable infinite dimensional Banach space and denotes the Banach algebra of all bounded linear operators from to itself. In 1970…
On finite sums of projections and Dixmier's averaging theorem for type factors
Xinyan Cao, Junsheng Fang, Zhaolin Yao
Let be a type factor and let be the faithful normal tracial state on . In this paper, we prove that given an , $X=X^*…
Strong sums of projections in type factors
Xinyan Cao, Junsheng Fang, Zhaolin Yao
Let be a type factor and let be the faithful positive semifinite normal trace, unique up to scalar multiples in the type case and normalized by…
Cowen-Douglas operators and the third of Halmos' ten problems
Chunlan Jiang, Junsheng Fang, Kui Ji
Let be a bounded linear operator on a complex separable infinite dimensional Hilbert space . is called intransitive if it leaves invariant spaces other than 0…