Signed measures, complex measures, and absolute continuity

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 6 in Measure and Integration, 2016, pp 133-165 from Springer

Abstract: Abstract Given a measure, a signed measure, or a complex measure μ on a measurable space (X, S), there are frequently other measures nearby that are closely related to μ in one way or another. These measures can often be put to good use in explicating various properties of μ. In the same vein, given two measures μ and ν (on the same or different measurable spaces), there are often useful ways in which they can be related and other ways of constructing new measures from the pair. In this chapter we explore some of the most important of these constructions and relations.

Keywords: Complexity Measure; Absolute Continuity; Measure Space; Finite Open Interval; Jordan Decomposition (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_6

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DOI: 10.1007/978-3-319-29046-1_6

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