Introduction to Model Spaces and their Operators

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

Stephan Ramon Garcia (Author), Javad Mashreghi (Author), William T. Ross (Author)

9781107108745, Cambridge University Press

Hardback, published 17 May 2016

340 pages, 10 b/w illus.
23.5 x 15.7 x 2.3 cm, 0.6 kg

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.

Subject Areas: Functional analysis & transforms [PBKF], Calculus & mathematical analysis [PBK], Mathematics [PB], Mathematics & science [P]