Skip to content
Register Sign in Wishlist
Linear Operators and their Spectra

Linear Operators and their Spectra

$120.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: May 2007
  • availability: Available
  • format: Hardback
  • isbn: 9780521866293

$ 120.00 (P)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

    • The first genuinely accessible account of non-self-adjoint operator theory and spectral theory; for graduate students and academic researchers
    • Written by a well-known and respected author, with much experience in this field
    • Gives the first account of pseudospectra written from a pure mathematical point of view
    Read more

    Reviews & endorsements

    "... This book should prove an excellent reference for all active mathematicians, specialists in or users of linear operators."
    F.-H. Vasilescu, Mathematical Reviews

    "This book is recommended not just to those interested in the theory of linear operators and its applications to various filed, including probability and quantum theory, but also to those whose interest lies primarily in nonlinearity.
    Heydar Radjavi, CMS Notes

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2007
    • format: Hardback
    • isbn: 9780521866293
    • length: 464 pages
    • dimensions: 235 x 158 x 27 mm
    • weight: 0.768kg
    • contains: 15 b/w illus. 274 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Elementary operator theory
    2. Function spaces
    3. Fourier transforms and bases
    4. Intermediate operator theory
    5. Operators on Hilbert space
    6. One-parameter semigroups
    7. Special classes of semigroup
    8. Resolvents and generators
    9. Quantitative bounds on operators
    10. Quantitative bounds on semigroups
    11. Perturbation theory
    12. Markov chains and graphs
    13. Positive semigroups
    14. NSA Schrödinger operators.

  • Resources for

    Linear Operators and their Spectra

    E. Brian Davies

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.


    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email lecturers@cambridge.org

  • Author

    E. Brian Davies, King's College London
    E. Brian Davies is a Professor of Mathematics at King's College London and a Fellow of the Royal Society. This is his seventh book.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×