Illustrative Introduction to Modern Analysis
-10%
portes grátis
Illustrative Introduction to Modern Analysis
Varvaruca, Eugen; Katzourakis, Nikolaos
Taylor & Francis Ltd
12/2017
558
Dura
Inglês
9781138718272
15 a 20 dias
926
Descrição não disponível.
Sets, mappings, countability and choice. Metric spaces and normed spaces. Completeness and applications. Topological spaces and continuity. Compactness and sequential compactness. The Lebesgue measure on the Euclidean space. Measure theory on general spaces. The Lebesgue integration theory. The class of Lebesgue functional spaces. Inner product spaces and Hilbert spaces. Linear operators on normed spaces. Weak topologies on Banach spaces. Weak* topologies and compactness. Functional properties of the Lebesgue spaces. Solutions to the exercises.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Lebesgue Outer Measure;Banach Space;Total Boundedness;Normed Vector Space;Infinite Dimensional Banach Space;Topological Space;Sequential Compactness;Cauchy Sequence;Measure Space;Riemann Integration;Metric Spaces;Dual Banach Space;Infinite Dimensional Normed Space;Lebesgue Measurable Set;Outer Measure;Finite Dimensional Normed Space;Normed Space;Dual Space;Uniformly Convex;Weak Topology;Vector Space;Lebesgue Integral;Borel Sets;Weak Convergence;Hahn Banach Theorem
Sets, mappings, countability and choice. Metric spaces and normed spaces. Completeness and applications. Topological spaces and continuity. Compactness and sequential compactness. The Lebesgue measure on the Euclidean space. Measure theory on general spaces. The Lebesgue integration theory. The class of Lebesgue functional spaces. Inner product spaces and Hilbert spaces. Linear operators on normed spaces. Weak topologies on Banach spaces. Weak* topologies and compactness. Functional properties of the Lebesgue spaces. Solutions to the exercises.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Lebesgue Outer Measure;Banach Space;Total Boundedness;Normed Vector Space;Infinite Dimensional Banach Space;Topological Space;Sequential Compactness;Cauchy Sequence;Measure Space;Riemann Integration;Metric Spaces;Dual Banach Space;Infinite Dimensional Normed Space;Lebesgue Measurable Set;Outer Measure;Finite Dimensional Normed Space;Normed Space;Dual Space;Uniformly Convex;Weak Topology;Vector Space;Lebesgue Integral;Borel Sets;Weak Convergence;Hahn Banach Theorem
