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The bidual of C(X) I /
The Bidual of C(X) I.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1985-
|
| Colección: | North-Holland mathematics studies ;
101. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; The Bidual of C(X) I; Copyright Page; Table of Contents; PREFACE; PART I: BACKGROUND; CHAPTER 1. RIESZ SPACES; 1 Ordered vector spaces; 2 Riesz spaces; 3 Riesz subspaces and Riesz ideals; 4 Order convergence; 5 Order closure and bands; 6 Riesz homomorphisms; 7 Dedekind completeness; 8 Countability properties; 9 Riesz norms and Banach lattices; Exercises; CHAPTER 2. RIESZ SPACE DUALITY; 10 The space Eb of order bounded linear functionals; 11 E as ""predual"" of Eb; 12 The space EC of order continuous linear functions; 13 The canonical imbedding of E in Ebb
- 28 Equi-order-continuity29 Weak compactness; PART III: C (X), C' (X), C"" (X) : THE FRAMEWORK; CHAPTER 6. (C(X), X) -DUALITY; 30 The topology of simple convergence on C(X); 31 The duality between the norm closed Riesz ideals of C(X) and the closed (or open) subsets of X; 32 The duality between the MII-subspaces of C(X) and the upper semicontinuous decomposition of X; 33 The MII-homomorphisms of C(X); CHAPTER 7. (C(X), C ' (X))-DUALITY; 34 The imbedding of X in C'(X); 35 Atomic and diffuse Radon measures; 36 The vague topology on C'(X); 37 Mapping duality; CHAPTER 8. C""(X)
- 38 The imbedding of C(X) in C""(X)39 Some simple sequence spaces; PART IV: THE STRUCTURE OF C""(X) : BEGINNINGS; CHAPTER 9: THE FUNDAMENTAL SUBSPACES OF C""(X); 40 C""(X)a and C""(X)d; 41 The basic bands and Co""(X); 42 The ""semicontinuous"" elements; 43 The Up-down-up theorem; 44 The subspace U(X) of universally integrable elements; 45 The subspaces s(X) and S(X); 46 Dedekind closures; 47 The Borel subspace Bo(X); 48 C(X)(1) and C(X)(2); CHAPTER 10. THE OPERATORS u AND l; 49 The operators u and l; 50 The operator d; 51 l-bands and u-bands; 52 Applications to general bands; CHAPTER 11. U(X)