Basic Results on Measure and Integration

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 4 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 99-128 from Springer

Abstract: Abstract In chapter 4 we develop basic results in measure and integration, including the Lebesgue monotone and dominated convergence theorems, the Fatou lemma, the Radon-Nikodym theorem and other classical results.

Keywords: Topological Space; Basic Result; Simple Function; Product Measure; Dominate Convergence Theorem (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_4

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DOI: 10.1007/978-3-319-06074-3_4

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