Opis: Introduction to Model Spaces and Their Operators - Stephan Ramon Garcia, William Ross, Javad Mashreghi

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.

Szczegóły: Introduction to Model Spaces and Their Operators - Stephan Ramon Garcia, William Ross, Javad Mashreghi

Tytuł: Introduction to Model Spaces and Their Operators
Autor: Stephan Ramon Garcia, William Ross, Javad Mashreghi
Wydawnictwo: Cambridge University Press
ISBN: 9781107108745
Rok wydania: 2016
Ilość stron: 340
Oprawa: Twarda
Waga: 0.6 kg

Recenzje: Introduction to Model Spaces and Their Operators - Stephan Ramon Garcia, William Ross, Javad Mashreghi