This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
Maße
Höhe: 236 mm
Breite: 156 mm
Dicke: 17 mm
Gewicht
ISBN-13
978-0-88385-357-3 (9780883853573)
Schweitzer Klassifikation
Steven G. Krantz earned a BA from the University of California, Santa Cruz and a PhD from Princeton University. He has taught at the University of California, Los Angeles, Pennsylvania State University, and Washington University. Over the course of his career he has written over 70 books and over 180 scholarly papers. He is a fellow of the American Mathematical Society and the holder of the Chauvenet Prize, the Beckenbach Book Award, and the UCLA Alumni Foundation Teaching Award.
Preface; 1. Fundamentals; 2. Ode to the dual space; 3. Hilbert space; 4. The algebra of operators; 5. Banach algebra basics; 6. Topological vector spaces; 7. Distributions; 8. Spectral theory; 9. Convexity; 10. Fixed-point theorems; Table of notation; Glossary; Bibliography; Index.
