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A HYPONORMAL TOEPLITZ COMPLETION PROBLEM

Published online by Cambridge University Press:  25 February 2013

IN SUNG HWANG  and
AN HYUN KIM
IN SUNG HWANG
Affiliation:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea e-mail: ihwang@skku.edu
AN HYUN KIM
Affiliation:
Department of Mathematics, Changwon National University, Changwon 641–773, Korea e-mail: ahkim@changwon.ac.kr
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Abstract

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In this paper we consider the following ‘Toeplitz completion’ problem: Complete the unspecified analytic Toeplitz entries of the partial block Toeplitz matrix

$ \begin{linenomath} A:=\begin{bmatrix} T_{\overline\psi_1}& ?\\[4pt] \T_{\overline\psi_2} \end{bmatrix} \end{linenomath} $
to make A hyponormal, where ψi∈H∞ is a non-constant rational function for i=1,2.

Keywords

47A2047B2047B35
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 1 - 8
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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