Existence and uniqueness of measures

Hari Bercovici, Arlen Brown and Carl Pearcy
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Hari Bercovici: Indiana University, Department of Mathematics
Arlen Brown: Indiana University, Department of Mathematics
Carl Pearcy: Texas A&M University, Department of Mathematics

Chapter Chapter 5 in Measure and Integration, 2016, pp 105-132 from Springer

Abstract: Abstract As was shown in Chapter 3 , for any μ ∗: outer measure measurable space measurable space (X, S), the correspondence between the set of measure measures on (X, S) and the set of Lebesgue integral -Lebesgue integrals on (X, S) is a bijection bijection (Theorems 3.29 and 3.37 ). This knowledge is of small value, however, unless one has in hand a good supply of measures to be integrated with respect to. In this chapter we discuss some of the more important ways in which measures arise.

Keywords: Outer Measure; Lebesgue Integral; Numerical Distribution Functions; Translation Invariant Measure; Semimodularity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-29046-1_5

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DOI: 10.1007/978-3-319-29046-1_5

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