5 papers · 1 filter
Bimodule KMS Symmetric Quantum Markov Semigroups and Gradient Flows
Chunlan Jiang, Jincheng Wan, Jinsong Wu
The bimodule KMS symmetry of a bimodule quantum Markov semigroup extends the classical KMS symmetry of a quantum Markov semigroup. Compared with (bimodule) GNS symmetry, the (bimod…
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…
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…