2 citations · 3 across the 15 of their papers we have counts for
9 papers · 1 filter
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…
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^…
Banach Spaces with respect to Operator-Valued Norms
Yun-Su Kim
We introduce the notions of L(H)-valued norms and Banach spaces with respect to L(H)-valued norms. In particular, we introduce Hilbert spaces with respect to L(H)-valued inner prod…
The relationships between Invertible Module Maps X and X_z
Yun-Su Kim
If and are Hilbert modules (in the sense of R. G. Douglas and V. I. Paulsen), we study the relationship between invertible module maps and $X_{z}:R/R_{z}\to{M/M…
Operator-Valued Norms
Yun-Su Kim
We introduce two kinds of operator-valued norms. One of them is an -valued norm. The other one is an -valued norm. We characterize the completeness with respect to a…