26 citations · 53 across the 14 of their papers we have counts for
8 papers · 1 filter
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…
-hypercontractivity and similarity of Cowen-Douglas operators
Kui Ji, Hyun-Kyoung Kwon, Jing Xu
When the backward shift operator on a weighted space is an -hypercontraction, we prove that t…
Similarity of Cowen-Douglas operators to the backward Dirichlet shift
Hyun-Kyoung Kwon
We show that the same similarity characterization obtained for Cowen-Douglas operators to the backward shift operators on reproducing kernel Hilbert spaces with analytic kernels ca…
Curvature invariant and generalized canonical operator models - II
Ronald G. Douglas, Yun-Su Kim, Hyun-Kyoung Kwon +1
In [11] the authors investigated a family of quotient Hilbert modules in the Cowen-Douglas class over the unit disk constructed from classical Hilbert modules such as the Hardy and…
Similarity of Operators in the Bergman Space Setting
Ronald G. Douglas, Hyun-Kyoung Kwon, Sergei Treil
We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a g…
Curvature invariant and generalized canonical Operator models - I
Ronald G. Douglas, Yun-Su Kim, Hyun-Kyoung Kwon +1
One can view contraction operators given by a canonical model of Sz.-Nagy and Foias as being defined by a quotient module where the basic building blocks are Hardy spaces. In this…
Similarity of operators and geometry of eigenvector bundles
Hyun-Kyoung Kwon, Sergei Treil
We characterize the contractions that are similar to the backward shift in the Hardy space . This characterization is given in terms of the geometry of the eigenvector bundles…