Spectral Theory and Nonlinear Functional Analysis (Chapman & Hall/CRC Research Notes in Mathematics Series) - Hardcover

Lopez-Gomez, Julian

Hardcover

ISBN 10: 113844197X ISBN 13: 9781138441972

Publisher: Chapman and Hall/CRC, 2017

Synopsis

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 The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers.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

About this title

About the Author

Julian Lopez-Gomez

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2017
• ISBN 10: 113844197X
• ISBN 13: 9781138441972
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 280