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Nonlinear spectral theory

Author: Jürgen Appell; Espedito De Pascale; Alfonso Vignoli
Publisher: Berlin ; New York : Walter de Gruyter, ©2004.
Series: Gruyter series in nonlinear analysis and applications, 10.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory." "The only prerequisite for understanding this book is a modest background in functional analysis and operator theory. It is addressed to non-specialists who want to get an idea of the development of spectral theory for nonlinear operators in the last 30 years, as well as a glimpse  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jürgen Appell; Espedito De Pascale; Alfonso Vignoli
ISBN: 3110181436 9783110181432
OCLC Number: 54460430
Description: xi, 408 pages : illustrations ; 25 cm.
Contents: 1. Spectra of bounded linear operators --
2. Some characteristics of nonlinear operators --
3. Invertibility of nonlinear operators --
4. The Rhodius and Neuberger spectra --
5. The Kachurovskij and Dorfner spectra --
6. The Furi-Martelli-Vignoli spectrum --
7. The Feng spectrum --
8. The Vath phantom --
9. Other spectra --
10. Nonlinear Eigenvalue problems --
11. Numerical ranges of nonlinear operators --
12. Some applications.
Series Title: Gruyter series in nonlinear analysis and applications, 10.
Responsibility: Jürgen Appell, Espedito De Pascale, Alfonso Vignoli.

Abstract:

"This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory." "The only prerequisite for understanding this book is a modest background in functional analysis and operator theory. It is addressed to non-specialists who want to get an idea of the development of spectral theory for nonlinear operators in the last 30 years, as well as a glimpse of the diversity of the directions in which current research is moving."--Jacket.

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"This text will certainly serve as an excellent reference book for many years."EMS Newsletter 3/2005 "The book can be considered as a systematic introduction to this area, emphasizing the diversity Read more...

 
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