This nicely written manuscript takes a gentler approach than other functionalanalysis graduate texts, and includes an improved approach along with a better choice of topics. The concise treatment makes this ideal for a one-semester course. The exercises in this manuscript are numerous and of a very high quality. Interesting historical tidbits are scattered throughout the text, many of which will be new to most readers. The main prerequisites are basic undergraduate courses in real analysis, linear algebra, and point set topology. Large number of high quality exercises Concise and gentle approach with a unique set of topics Historical details are spread throughout the book This book has been thoroughly class-tested INDICE: Preface.- Hilbert Space Preliminaries.- Operator Theory Basics.- The Big Three.- Compact Operators.- Banach and C+- Algebras.- The Spectral Theorem.- Real Analysis Topics.- References.- Index.
- ISBN: 978-0-387-85528-8
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 208
- Fecha Publicación: 01/02/2009
- Nº Volúmenes: 1
- Idioma: Inglés