Introduction to Model Spaces and their Operators (Cambridge Studies in Advanced Mathematics)
Cambridge University Press, 5/17/2016
EAN 9781107108745, ISBN10: 1107108748
Hardcover, 340 pages, 22.8 x 15.2 x 2.3 cm
Language: English
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.
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.