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math.FA2020★ 1 cited
Compact vectorial Toeplitz operators on the Segal-Bargmann space
Tomasz Beberok, Piotr Budzynski, Dong-O Kang
We provide a sufficient condition for the compactness of a Toeplitz operator acting on the Segal-Bargmann space of vector-valued functions written in terms of an associated operato…
math.FA2019
On complex symmetric block Toeplitz operators
Dong-O Kang, Eungil Ko, Ji Eun Lee
In this paper, we study complex symmetry of Toeplitz operators and block Toeplitz operators. In particular, we give a characterization of complex symmetric block Toeplitz operators…
math.FA2018
Kernels of block Hankel operators and independency of vector-valued functions modulo Nevanlinna class
Dong-O Kang
For a matrix-valued function , it is well-known that the kernel of a block Hankel operator is an invariant subspace for the shift operator. Thus, if…