Title Spaces of measures / Corneliu Constantinescu

Published Berlin ; New York : W. de Gruyter, 1984

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Description 1 online resource (444 pages) Series De Gruyter studies in mathematics ; 4 De Gruyter studies in mathematics ; 4. Contents 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 --  1.2 Sets of filters on topological and uniform spaces --  1.3 Î?-continuous and uniformly Î?-continuous maps --  1.4 Filters defined by sets of sequences --  1.5 Sets of sequences on topological and uniform spaces --  1.6 Î?-stable filters --  1.7 Mioritic spaces  1.8 Î?i-continuous and uniformly Î?i-continuous mapsChapter 2: Spaces of functions --  2.1 Uniformities on spaces of functions --  2.2 Uniformities on spaces of functions defined by sets of sequences --  2.3 Å mulian spaces --  2.4 Constructions with spaces of functions --  2.5 Spaces of parametrized functions -- Chapter 3: Spaces of supersummable families --  3.1 The set G(I, G) --  3.2 Structures on G (I, G) --  3.3 Spaces of supersummable families --  3.4 Spaces of supersummable families of functions  3.5 Supersummable families in special spacesChapter 4: Spaces of measures --  4.1 Measures and exhaustive maps --  4.2 Spaces of measures and of exhaustive additive maps --  4.3 Vitali-Hahn-Saks theorem and Phillips lemma --  4.4 Weak topologies on spaces of measures --  4.5 Spaces of measures on topological spaces --  4.6 Measures with parameter --  4.7 Bounded sets --  4.8 Bounded sets and measures on topological spaces --  4.9 Spaces of integrals --  4.10 Supersummable families of functions and their integrals  4.11 Measurability considerationsChapter 5: Locally convex lattices --  5.1 Order summable families --  5.2 Order continuous maps --  5.3 Spaces of order continuous group homomorphisms --  5.4 Vector lattices --  5.5 Duals of vector lattices --  5.6 Spaces of vector valued measures --  5.7 Quasi M-spaces --  5.8 M-spaces --  5.9 Strict M-spaces -- References -- Index -- Notations Bibliography Includes bibliographical references and index Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL English digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL Subject Spaces of measures. Measure theory. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Measure theory Spaces of measures Maßraum Integrationstheorie Maßtheorie Maattheorie. Lineaire functionalen. Calcul intégral. Form Electronic book ISBN 9783110853995 311085399X

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