Real and Functional Analysis.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Springer New York,
1993.
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Edición: | N. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Graduate Texts in Mathematics; Real and Functional Analysis Third Edition; Copyright; Foreword; Contents; PART ONE General Topology; CHAPTER I Sets; CHAPTER II Topological Spaces; CHAPTER III Continuous Functions on Compact Sets; PART TWO Banach and Hilbert Spaces; CHAPTER IV Banach Spaces; CHAPTER V Hilbert Space; PART THREE Integration; CHAPTER VI The General Integral; CHAPTER VII Duality and Representation Theorems; CHAPTER VIII Some Applications of Integration; CHAPTER IX Integration and Measures on Locally Compact Spaces; CHAPTER X Riemann-Stieltjes Integral and Measure.
- CHAPTER XI DistributionsCHAPTER XII Integration on Locally Compact Groups; PART FOUR Calculus; CHAPTER XIII Differential Calculus; CHAPTER XIV Inverse Mappings and Differential Equations; PART FIVE Functional Analysis; CHAPTER XV The Open Mapping Theorem, Factor Spaces, and Duality; CHAPTER XVI The Spectrum; CHAPTER XVII Compact and Fredholm Operators; CHAPTER XVIII Spectral Theorem for Bounded Hermitian Operators; CHAPTER XIX Further Spectral Theorems; CHAPTER XX Spectral Measures; PART SIX Global Analysis; CHAPTER XXI Local Integration of Differential Forms; CHAPTER XXII Manifolds.
- CHAPTER XXIII Integration and Measures on ManifoldsBibliography; Table of Notation; Index.