Skip to main content
Book cover

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

  • Book
  • © 2015

Overview

  • Examines state-of-the-art research on S-essential spectra and essential pseudo-spectra of closed, closely-defined, and linear operators subjected to additive perturbations
  • Outlines applications of spectral graph theory to physics and biology
  • Provides essentials of operator theory and matrix algebra

Buy print copy

Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Table of contents (13 chapters)

Keywords

About this book

Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.

Reviews

“The author studies specifically some relevant aspects of the spectral theory for block operator matrices from a new standpoint and incorporates recent results of his own works. … the book provides a large variety of important applications in many branches of mathematics as well as physics, biology, and some open questions are given, too. This book may be of interest for both experienced researchers and graduate students.” (Carlos R. Carpintero, zbMATH 1354.47001, 2017)

Authors and Affiliations

  • Department of Mathematics, University of Sfax, Sfax, Tunisia

    Aref Jeribi

About the author

Prof. Dr. Aref Jeribi is a Professor in the Department of Mathematics at the University of Sfax in Sfax, Tunisia.

Bibliographic Information

  • Book Title: Spectral Theory and Applications of Linear Operators and Block Operator Matrices

  • Authors: Aref Jeribi

  • DOI: https://doi.org/10.1007/978-3-319-17566-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-17565-2Published: 15 July 2015

  • Softcover ISBN: 978-3-319-37289-1Published: 15 October 2016

  • eBook ISBN: 978-3-319-17566-9Published: 04 July 2015

  • Edition Number: 1

  • Number of Pages: XVI, 599

  • Number of Illustrations: 19 b/w illustrations, 14 illustrations in colour

  • Topics: Mathematical Physics, Operator Theory

Publish with us