3 papers
math.FA2025
Cowen-Douglas operators on quaternionic Hilbert spaces
Xiaoqi Feng, Bingzhe Hou, Kui Ji
In 1978, M. J. Cowen and R. G. Douglas introduced a class of geometric operators (known as Cowen-Douglas class of operators) and associated a Hermitian holomorphic vector bundle to…
math.FA2023
On the similarity of powers of operators with flag structure
Jianming Yang, Kui Ji
Let be the classical Bergman space and denote for the multiplication operator by a function . Let be a finite Blaschke product with order…
math.FA2023
The Cowen-Douglas operators with strongly flag structure
Yufang Xie, Kui Ji
Denote as the collection of operators possessing a flag structure in the Cowen-Douglas class , and all the irreducible homogeneous operato…