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An Introductory Course in Functional Analysis
Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Universitext,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Foreword
- Preface
- 1 Introduction.- 2 Classical Banach spaces and their duals
- 3 The Hahn-Banach theorems.- 4 Consequences of completeness
- 5 Consequences of convexity
- 6 Compact operators and Fredholm theory
- 7 Hilbert space theory
- 8 Banach algebras
- A Basics of measure theory
- B Results from other areas of mathematics
- References
- Index.