$$\mathfrak G$$: 0–1 Finitely Additive Measures

John Toland

doi:10.1007/978-3-030-34732-1_5

$$\mathfrak G$$: 0–1 Finitely Additive Measures

John Toland

Department of Mathematical Sciences

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Abstract

This chapter is devoted to the set of finitely additive measures which take only the values 0 or 1 and explains the sense in which every essentially bounded function is constant-almost everywhere. The existence of elements of with prescribed properties is established using Zorn’s lemma and a relation between elements of and maximal filters. This observation and its consequences dominate subsequent developments.

Original language	English
Title of host publication	The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence
Place of Publication	Cham, Switzerland
Publisher	Springer Science and Business Media B.V.
Pages	41-46
Number of pages	6
ISBN (Electronic)	9783030347321
ISBN (Print)	9783030347314
DOIs	https://doi.org/10.1007/978-3-030-34732-1_5
Publication status	E-pub ahead of print - 3 Jan 2020

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

ASJC Scopus subject areas

Mathematics(all)

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10.1007/978-3-030-34732-1_5

Cite this

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$$\mathfrak G$$: 0–1 Finitely Additive Measures

Abstract

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