Applications of Functional Analysis and Operator Theory

2. Auflage 2005
ISBN: 978-0-444-51790-6
Verlag: Elsevier Science & Technology

Buch, Englisch, 432 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 797 g

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces.

Zielgruppe

Graduate and prost-graduate students, researchers, teachers and professors.

Autoren/Hrsg.

Hutson, V.

Pym, J.

Cloud, M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Wirtschaftswissenschaften Betriebswirtschaft Bereichsspezifisches Management Personalwesen, Human Resource Management

Inhaltsverzeichnis

1. Banach Spaces2. Lebesgue Integration and the Lp Spaces3. Foundations of Linear Operator Theory4. Introduction to Nonlinear Operators5. Compact Sets in Banach Spaces6. The Adjoint Operator7. Linear Compact Operators8. Nonlinear Compact Operators and Monotonicity9. The Spectral Theorem10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations11. Linear Elliptic Partial Differential Equations12. The Finite Element Method13. Introduction to Degree Theory14. Bifurcation Theory