The author presents the essentials of functional analysis and discusses basic metric and topological concepts. Four fundamental theorems are presented - Functional Analysis-Hahn- Banach Theorem, Open Mapping Theorem, Closed Graph Theorem, and Banach-Steinhaus Theorem, and basic results on operators in Banach and Hilbert spaces and Spectral theory are also included. There are numerous exercises.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
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Gewicht
ISBN-13
978-0-470-21564-7 (9780470215647)
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Schweitzer Klassifikation
Metric Spaces. Linear Metric Spaces. Basic Theorems on Normed Linear Spaces. Spaces of Bounded Linear Functionals. Hilbert Spaces. Banach Algebras. Operator Theory (Part I). Operator Theory (Part II). Fixed Point Theory. Nonlinear Operators and Applications. Sequence Spaces and Matrix Transformations. Appendices: Further Applications: Best Approximation in Normed Linear Spaces; Further Applications: Frechet Derivatives and Computational Method in Banach Spaces; Review: Measure and Integration. References. Index.
