The Lebesgue Measure in ℝ n $$\mathbb{R}^{n}$$

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

Chapter Chapter 5 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 129-146 from Springer

Abstract: Abstract In chapter 5 we define the Lebesgue measure and the concept of Lebesgue measurable set. We show that the set of Lebesgue measurable sets is a σ-algebra so that the earlier results, proven for more general measure spaces, remain valid in the present context (such as the Lebesgue monotone and dominated convergence theorems).

Keywords: Lebesgue Measurable Set; General Measure Spaces; Lebesgue Monotone; Dominated Convergence Theorem; Measure Whenever (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_5

Ordering information: This item can be ordered from
http://www.springer.com/9783319060743

DOI: 10.1007/978-3-319-06074-3_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().