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An introduction to Hankel operators

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Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.

Author(s): Jonathan R. Partington
Series: London Mathematical Society Student Texts
Publisher: CUP
Year: 1989

Language: English
Pages: 111

CONTENTS......Page 7
0 Introduction......Page 9
1 Compact Operators on a Hilbert Space......Page 12
2 Hardy Spaces......Page 21
3 Basic Properties of Hankel Operators......Page 37
4 Hankel Operators on the Half Plane......Page 50
5 Linear Systems and H_infty......Page 56
6 Hankel-norm Approximation......Page 63
7 Special Classes of Hankel Operator......Page 74
Appendix......Page 84
Exercises......Page 98
Bibliography......Page 104
Index......Page 107