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Introduction to model spaces and their operators

By: Contributor(s): Material type: TextTextSeries: Cambridge Studies in Advanced Mathematics; 148Publication details: Cambridge Cambridge University Press 2016Description: xv, 322 pISBN:
  • 9781107108745
Subject(s): DDC classification:
  • 515.73 G2I6
Summary: 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. 1. Self-contained chapters help graduate students and newcomers to follow the topics discussed 2. Provides historical background that sets model spaces in the context of complex analysis and operator theory 3. Allows the reader to fast-track to the latest developments in the field (http://www.cambridge.org/us/academic/subjects/mathematics/abstract-analysis/introduction-model-spaces-and-their-operators?format=HB)
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1380 (0 Floor, East Wing) Non-fiction General Stacks 515.73 G2I6 (Browse shelf(Opens below)) Available 192488

Table of Contents:

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.

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.

1. Self-contained chapters help graduate students and newcomers to follow the topics discussed
2. Provides historical background that sets model spaces in the context of complex analysis and operator theory
3. Allows the reader to fast-track to the latest developments in the field

(http://www.cambridge.org/us/academic/subjects/mathematics/abstract-analysis/introduction-model-spaces-and-their-operators?format=HB)

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