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math.FA2024
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…
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.FA2013
Abrahamse's Theorem for matrix-valued symbols and subnormal Toeplitz completions
Raul E. Curto, In Sung Hwang, Woo Young Lee
This paper deals with subnormality of Toeplitz operators with matrix-valued symbols and, in particular, with an appropriate reformulation of Halmos's Problem 5: Which subnormal Toe…