7 papers · 1 filter
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…
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…
-groups and strongly irreducible decompositions of operator tuples
Jing Xu
An operator tuple is called strongly irreducible (SI), if the joint commutant of does not any nontrivial idempotent operator. In this…
On the metric of the jet bundle and similarity of Cowen-Douglas operators
Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1
The study of Cowen-Douglas operators not only involves traditional operator-theoretic tools but also concepts and results from complex geometry on holomorphic vector bundles. We ma…
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…
A subclass of the Cowen-Douglas class and similarity
Kui Ji, Hyun-Kyoung Kwon, Jaydeb Sarkar +1
We consider a subclass of the Cowen-Douglas class in which the problem of deciding whether two operators are similar becomes more manageable. A similarity criterion for Cowen-Dougl…