activity
20052026
most citedThe Beurling-Lax-Halmos Theorem for Infinite Multiplicity

19 citations · 30 across the 9 of their papers we have counts for

collaborators

10 papers

math.FA2026★ 1 cited

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^…

math.FA2021★ 9 cited

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…

math.FA2019★ 19 cited

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…

math.FA2018

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…

math.FA2016

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…

math.FA2014

An answer to a question of A. Lubin: The lifting problem for commuting subnormals

Sang Hoon Lee, Woo Young Lee, Jasang Yoon

The subnormality for the sum of commuting subnormal operators does not guarantee the existence of commuting normal extensions.