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Spaces of measures /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Constantinescu, Corneliu
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Berlin ; New York : W. de Gruyter, 1984.
Colección:	De Gruyter studies in mathematics ; 4.
Temas:	Spaces of measures. Measure theory. Espaces de mesures. Théorie de la mesure. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Measure theory Spaces of measures Maßraum Integrationstheorie Maßtheorie Maattheorie. Lineaire functionalen. Calcul intégral.
Acceso en línea:	Texto completo

Tabla de Contenidos:

Introduction
Logical connections between sections
Notations and Terminology
1. Set theory
2. Order relations
3. Topological spaces
4. Uniform spaces
Chapter 1: Topological preliminaries
Â1.1 Sets of filters
Â 1.2 Sets of filters on topological and uniform spaces
Â 1.3 Î?-continuous and uniformly Î?-continuous maps
Â 1.4 Filters defined by sets of sequences
Â 1.5 Sets of sequences on topological and uniform spaces
Â 1.6 Î?-stable filters
Â 1.7 Mioritic spaces
Â 1.8 Î?i-continuous and uniformly Î?i-continuous mapsChapter 2: Spaces of functions
Â 2.1 Uniformities on spaces of functions
Â 2.2 Uniformities on spaces of functions defined by sets of sequences
Â 2.3 Å mulian spaces
Â 2.4 Constructions with spaces of functions
Â 2.5 Spaces of parametrized functions
Chapter 3: Spaces of supersummable families
Â 3.1 The set G(I, G)
Â 3.2 Structures on G (I, G)
Â 3.3 Spaces of supersummable families
Â 3.4 Spaces of supersummable families of functions
Â 3.5 Supersummable families in special spacesChapter 4: Spaces of measures
Â 4.1 Measures and exhaustive maps
Â 4.2 Spaces of measures and of exhaustive additive maps
Â 4.3 Vitali-Hahn-Saks theorem and Phillips lemma
Â 4.4 Weak topologies on spaces of measures
Â 4.5 Spaces of measures on topological spaces
Â 4.6 Measures with parameter
Â 4.7 Bounded sets
Â 4.8 Bounded sets and measures on topological spaces
Â 4.9 Spaces of integrals
Â 4.10 Supersummable families of functions and their integrals
Â 4.11 Measurability considerationsChapter 5: Locally convex lattices
Â 5.1 Order summable families
Â 5.2 Order continuous maps
Â 5.3 Spaces of order continuous group homomorphisms
Â 5.4 Vector lattices
Â 5.5 Duals of vector lattices
Â 5.6 Spaces of vector valued measures
Â 5.7 Quasi M-spaces
Â 5.8 M-spaces
Â 5.9 Strict M-spaces
References
Index
Notations

Spaces of measures /

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