3 papers
math.FA2025
On the quasi-similarity of operators with flag structure
Xie yufang, Ji shanshan, Xu jing +1
Let denote the operator class in which every nonzero intertwiner between two operators in has dense range. Utilizing the operators in as a…
math.FA2025
Cyclicity of Cowen-Douglas tuples
Jing Xu, Shanshan Ji, Yufang Xie +1
The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic…
math.FA2022
The Cowen-Douglas Theory for Operator Tuples and Similarity
Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1
We are concerned with the similarity problem for Cowen-Douglas operator tuples. The unitary equivalence counterpart was already investigated in the 1970's and geometric concepts in…