© 1989

An Introduction to Operator Polynomials


Part of the Operator Theory: Advances and Applications book series (OT, volume 38)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Leiba Rodman
    Pages 1-7
  3. Leiba Rodman
    Pages 8-38
  4. Leiba Rodman
    Pages 93-129
  5. Leiba Rodman
    Pages 178-223
  6. Leiba Rodman
    Pages 297-316
  7. Leiba Rodman
    Pages 317-360
  8. Leiba Rodman
    Pages 361-370
  9. Back Matter
    Pages 371-391

About this book


This book provides an introduction to the modern theory of polynomials whose coefficients are linear bounded operators in a Banach space - operator polynomials. This theory has its roots and applications in partial differential equations, mechanics and linear systems, as well as in modern operator theory and linear algebra. Over the last decade, new advances have been made in the theory of operator polynomials based on the spectral approach. The author, along with other mathematicians, participated in this development, and many of the recent results are reflected in this monograph. It is a pleasure to acknowledge help given to me by many mathematicians. First I would like to thank my teacher and colleague, I. Gohberg, whose guidance has been invaluable. Throughout many years, I have worked wtih several mathematicians on the subject of operator polynomials, and, consequently, their ideas have influenced my view of the subject; these are I. Gohberg, M. A. Kaashoek, L. Lerer, C. V. M. van der Mee, P. Lancaster, K. Clancey, M. Tismenetsky, D. A. Herrero, and A. C. M. Ran. The following mathematicians gave me advice concerning various aspects of the book: I. Gohberg, M. A. Kaashoek, A. C. M. Ran, K. Clancey, J. Rovnyak, H. Langer, P.


Banach Space differential equation linear algebra minimum operator theory

Authors and affiliations

  1. 1.Department of MathematicsCollege of William and MaryWilliamsburgUSA

Bibliographic information

  • Book Title An Introduction to Operator Polynomials
  • Authors I. Gohberg
  • Series Title Operator Theory: Advances and Applications
  • DOI
  • Copyright Information Birkhäuser Basel 1989
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-2324-0
  • Softcover ISBN 978-3-0348-9928-4
  • eBook ISBN 978-3-0348-9152-3
  • Edition Number 1
  • Number of Pages XII, 391
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Science, Humanities and Social Sciences, multidisciplinary
  • Buy this book on publisher's site