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

Lopez-Gomez, Julian

ISBN 10: 1584882492 / ISBN 13: 9781584882497

Editore: Chapman and Hall/CRC, 2001

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Codice articolo ERICA77315848824926

Dati bibliografici

• Titolo: Spectral Theory and Nonlinear Functional Analysis (Chapman & Hall/CRC Research Notes in Mathematics Series)
• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 1584882492
• ISBN 13: 9781584882497
• Rilegatura: Paperback
• Condizione: Like New
• Tipo di libro: book

Descrizione articolo

Riassunto

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 The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers.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

Informazioni sull?autore

Julian Lopez-Gomez