Introduction to model spaces and their operators
著者
書誌事項
Introduction to model spaces and their operators
（Cambridge studies in advanced mathematics, 148）
Cambridge University Press, 2016
- : hardback
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注記
Includes bibliographical references (p. 307-317) and index
内容説明・目次
内容説明
The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
目次
- Preface
- Notation
- 1. Preliminaries
- 2. Inner functions
- 3. Hardy spaces
- 4. Operators on the Hardy space
- 5. Model spaces
- 6. Operators between model spaces
- 7. Boundary behavior
- 8. Conjugation
- 9. The compressed shift
- 10. The commutant lifting theorem
- 11. Clark measures
- 12. Riesz bases
- 13. Truncated Toeplitz operators
- References
- Index.
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