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Introduction to Model Spaces and their Operators

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: May 2016
  • availability: Available
  • format: Hardback
  • isbn: 9781107108745


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About the Authors
  • 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.

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

    • Date Published: May 2016
    • format: Hardback
    • isbn: 9781107108745
    • length: 340 pages
    • dimensions: 235 x 157 x 23 mm
    • weight: 0.6kg
    • contains: 10 b/w illus.
    • availability: Available
  • Table of Contents

    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

  • Authors

    Stephan Ramon Garcia, Pomona College, California
    Stephan Ramon Garcia is an Associate Professor at Pomona College, California. He has earned multiple NSF research grants and five teaching awards from three different institutions. He has also authored over 50 research articles in operator theory, complex analysis, matrix analysis, and number theory.

    Javad Mashreghi, Université Laval, Québec
    Javad Mashreghi is a Professor of Mathematics at Université Laval, Québec, where he has been selected Star Professor of the Year seven times for excellence in teaching. His main fields of interest are complex analysis, operator theory and harmonic analysis. He is the author of several mathematical textbooks, monographs and research articles. He won the G. de B. Robinson Award, the publication prize of the Canadian Mathematical Society, in 2004.

    William T. Ross, University of Richmond, Virginia
    William T. Ross is the Roger Francis and Mary Saunders Richardson Chair in Mathematics at the University of Richmond, Virginia. He is the author of over 40 research papers in function theory and operator theory and also four books.

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