2 citations · 3 across the 15 of their papers we have counts for
16 papers
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…
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…
Sufficient conditions for the invariant Subspace Problem
Yun-Su Kim
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
Algebraic Elements and Invariant Subspaces
Yun-Su Kim
We prove that if a completely non-unitary contraction T in L(H) has a non-trivial algebraic element h, then T has a non-trivial invariant subspace.
Reducing Subspaces on the Annulus
Ronald G. Douglas, Yun-Su Kim
We study reducing subspaces for an analytic multiplication operator M_{z^{n}} on the Bergman space L_{a}^{2}(A_{r}) of the annulus A_{r}, and we prove that M_{z^{n}} has exactly 2^…
Every transcendental operator has a non-trivial invariant subspace
Yun-Su Kim
In this paper, to solve the invariant subspace problem, contraction operators are classified into three classes ; (Case 1) completely non-unitary contractions with a non-trivial al…