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Nonlinear Spectral Theory (de Gruyter Series In Nonlinear Analysis And Applications, 10) by Appell, Jürgen ;De Pascale, Espedito ;Vignoli, Alfonso is a nonfiction available to read on EtoBox.
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<html> <head> <meta name="generator" content="microsoft dhtml editing control"> <title></title> </head> <body> <P>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. </P> <P>The first chapter briefly recalls the definition and properties of the spectrum and several subspectra for bounded linear operators. Then some numerical characteristics for nonlinear operators are introduced which are useful for describing those classes of operators for which there exists a spectral theory. Since spectral values are closely related to solvability results for operator equations, various conditions for the local or global invertibility of a nonlinear operator are collected in the third chapter. The following two chapters are concerned with spectra for certain classes of continuous, Lipschitz continuous, or differentiable operators. These spectra, however, simply adapt the corresponding d
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- Author
- Appell, Jürgen ;De Pascale, Espedito ;Vignoli, Alfonso
- Publisher
- Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH
- Published
- 2004
- Language
- EN
- ISBN
- 9786613396648
- Category
- nonfiction
- Subjects
- Mathematics, Science, Functional Analysis
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