19 citations · 30 across the 9 of their papers we have counts for
9 papers
Subnormal block Toeplitz operators
Mankunikuzhiyil Abhinand, Raul E. Curto, In Sung Hwang +2
In this paper we consider the subnormality of block Toeplitz operators , where is an matrix-valued function on the unit circle of the form $$ Φ=QΦ^…
Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators
Caixing Gu, In Sung Hwang, Hyoung Joon Kim +2
In this paper we formulate the almost invariant subspaces theorems of backward shift operators in terms of the ranges or kernels of product of Toeplitz and Hankel operators. This a…
Operator-valued rational functions
Raul E. Curto, In Sung Hwang, Woo Young Lee
In this paper we show that every inner divisor of the operator-valued coordinate function, , is a Blaschke-Potapov factor. We also introduce a notion of operator-valued "rati…
The Beurling-Lax-Halmos Theorem for Infinite Multiplicity
Raul E. Curto, In Sung Hwang, Woo Young Lee
In this paper, we consider several questions emerging from the Beurling-Lax-Halmos Theorem, which characterizes the shift-invariant subspaces of vector-valued Hardy spaces. The Beu…
A canonical decomposition of strong -functions
In Sung Hwang, Woo Young Lee
The aim of this paper is to establish a canonical decomposition of operator-valued strong -functions by the aid of the Beurling-Lax-Halmos Theorem which characterizes the shif…
Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
Raúl E. Curto, In Sung Hwang, Woo Young Lee
In this paper, we study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. \ We first establish a criterion…