Book chapter
A Subnormal Toeplitz Completion Problem
Operator Theory in Harmonic and Non-commutative Analysis, pp.87-110
Operator Theory: Advances and Applications, Springer International Publishing
05/30/2014
DOI: 10.1007/978-3-319-06266-2_5
Abstract
We give a brief survey of subnormality and hyponormality of Toeplitz operators on the vector-valued Hardy space of the unit circle. We also solve the following subnormal Toeplitz completion problem: Complete the unspecified rational Toeplitz operators (i.e., the unknown entries are rational Toeplitz operators) of the partial block Toeplitz matrixG:=Tω1¯??Tω2¯(ω1andω2are finite Blaschke products)\documentclass[12pt]{minimal}
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\begin{document}
$$ G: = \left[ \begin{array}{ccc} {{T_{\overline {{\omega _1}} }}}&? \\ ? &{{T_{\overline {{\omega _2}} }}} \end{array} \right]({\omega _1}\,and\,{\omega _2}\,\text{are finite Blaschke products)} $$
\end{document}
to make G subnormal.
Details
- Title: Subtitle
- A Subnormal Toeplitz Completion Problem
- Creators
- Raúl E Curto - Department of Mathematics, University of Iowa, Iowa City, USAIn Sung Hwang - Sungkyunkwan UniversityWoo Young Lee - Seoul National University
- Resource Type
- Book chapter
- Publication Details
- Operator Theory in Harmonic and Non-commutative Analysis, pp.87-110
- Publisher
- Springer International Publishing; Cham
- Series
- Operator Theory: Advances and Applications
- DOI
- 10.1007/978-3-319-06266-2_5
- eISSN
- 2296-4878
- ISSN
- 0255-0156
- Language
- English
- Date published
- 05/30/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984241156202771
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