5 papers
Completely Bounded Representations Into Von Neumann Algebras And Connes Embedding Problem
Junsheng Fang, Chunlan Jiang, Liguang Wang +1
In this paper, we prove that if is a unital separable -algebra, is a von Neumann algebra which has the Kirchberg's quotient weak expectation proper…
On Klee's problem of convex bodies in Banach spaces
Lixin Cheng, Chunlan Jiang, Liping Yuan
It is well known that every convex body in a finite dimensional normed space can be uniformly approximated by strictly convex and smooth convex bodies. However, in the case of infi…
A local quantization principle for inclusions of tracial von Neumann algebras
Xinyan Cao, Junsheng Fang, Chunlan Jiang +1
We study the local quantization principle (after Sorin Popa~\cite{popa 94} and \cite{popa 95}) of inclusions of tracial von Neumann algebras. Let be a type ${\rm…
The invariant subspace problem and Rosenblum operators I
Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1
Let be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of by analyzing the growth of , wh…
Phase Group Categories of Bimodule Quantum Channels
Linzhe Huang, Chunlan Jiang, Zhengwei Liu +1
In this paper, we study the quantum channel on a von Neuamnn algebra preserving a von Neumann subalgebra , namely an --bimodule…