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English
Chapman & Hall/CRC
28 March 2001
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. It features the construction of an optimal algebraic/analytic invariant for calculating the Leray-Schauder degree, new methods for solving nonlinear equations in Banach spaces, and general properties of components of solutions sets presented with minimal use of topological tools. The author also gives several applications of the abstract theory to reaction diffusion equations and systems.

The results presented cover a thirty-year period and include recent, unpublished findings of the

author and his coworkers. Appealing to a broad audience, Spectral Theory and Nonlinear Functional Analysis contains many important contributions to linear algebra, linear and nonlinear functional analysis, and topology and opens the door for further advances.

By:  
Series edited by:   , ,
Imprint:   Chapman & Hall/CRC
Country of Publication:   United States
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 15mm
Weight:   520g
ISBN:   9781584882497
ISBN 10:   1584882492
Series:   Chapman & Hall/CRC Research Notes in Mathematics Series
Pages:   278
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Professional & Vocational ,  A / AS level ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active

Julian Lopez-Gomez

Reviews for Spectral Theory and Nonlinear Functional Analysis

The book is both an excellent introduction to some novel ideas about nonlinear eigenvalue problems and an exposition of a range of earlier results scattered in different papers and expounded in book form for the first time here. - Mathematical Reviews, Issue 2002 This is a nice introductory text about classical functional analysis... This book will be interesting and useful for many mathematicians, scientists, graduate and undergraduate students. -Mathematical Reviews


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