Finitely Additive Measures

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter introduces basic notation and definitions, for example, of partial ordering, lattice operations, absolute continuity and singularity, for finitely additive measures. The important notion of pure finite additivity of measures follows, and it is shown that every finitely additive measure is uniquely the sum of a countably additive and a purely finitely additive measure. This sets the scene for the material that follows.

Original languageEnglish
Title of host publicationThe Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence.
Place of PublicationCham, Switzerland
PublisherSpringer Science and Business Media B.V.
Pages31-39
Number of pages9
ISBN (Electronic)9783030347321
ISBN (Print)9783030347314
DOIs
Publication statusE-pub ahead of print - 3 Jan 2020

Publication series

NameSpringerBriefs in Mathematics
ISSN (Print)2191-8198
ISSN (Electronic)2191-8201

ASJC Scopus subject areas

  • Mathematics(all)

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