Nonlinear Spectral Theory [E-Book].
Vignoli, Alfonso
Appell, Jürgen / De Pascale, Espedito
Berlin : De Gruyter
1 online resource (XI, 408 S.) Ill.
De Gruyter Series in Nonlinear Analysis and Applications ; 10
Full Text
Main description: In view of the eminent importance of spectral theory of linear operators in many fields of mathematics and physics, it is not surprising that various attempts have been made to define and study spectra also for nonlinear operators. 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.
Review text: "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 of directions in which current research in nonlinear spectral ist developing."S. Cobzas in: Studia Universitatis Babes-Boyai 1/2005 "This carefully written book is a comprehensive treatment of the subject including new results several of them archieved bythe author. [...] This research monograph is recommended to scientists interested in the theory of nonlinar operators and their applications."R. Schumann in ZAA 4/2004
Biographical note: Jürgen Appell is Professor at the Mathematics Institute of the University of Würzburg, Germany. Espedito De Pascale is Professor at the Mathematics Department of the University of Calabria, Italy. Alfonso Vignoli is Professor at the Mathematics Department of the University of Rome, Italy.