Perturbation Theory for Linear Operators

Denseness and Bases with Applications

Authors: Jeribi, Aref

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  • Discusses key topics on spectral theory along with recent developments in the area
  • Includes applications in mathematical physics and mechanics
  • Presents results motivated by physical problems
  • Appeals to students, researchers, pure analysts and mathematicians
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  • ISBN 978-981-16-2528-2
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About this book

This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.

About the authors

AREF JERIBI is Professor at the Department of Mathematics, University of Sfax, Tunisia. He completed his Habilitation of Mathematics and Applications in 2002 at the University of Sfax, Tunisia, and defended his PhD thesis in 1998 at the University of Corsica Pasquale Paoli, France. His research interests include spectral theory, matrix operators, transport theory, Gribov operator, Bargmann space, fixed point theory, Riesz basis, and linear relations. He is an author of 5 books, including Spectral Theory and Applications of Linear Operators and Block Operator Matrices (Springer Nature, 2015) and 117 research articles published in reputed journals and conference proceedings.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-981-16-2528-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-981-16-2527-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Perturbation Theory for Linear Operators
Book Subtitle
Denseness and Bases with Applications
Authors
Copyright
2021
Publisher
Springer Singapore
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-16-2528-2
DOI
10.1007/978-981-16-2528-2
Hardcover ISBN
978-981-16-2527-5
Edition Number
1
Number of Pages
XXVI, 509
Number of Illustrations
16 b/w illustrations
Topics