Finitely Additive Measures

John Toland

doi:10.1007/978-3-030-34732-1_4

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 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 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	31-39
Number of pages	9
ISBN (Electronic)	9783030347321
ISBN (Print)	9783030347314
DOIs	https://doi.org/10.1007/978-3-030-34732-1_4
Publication status	E-pub ahead of print - 3 Jan 2020

Publication series

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

Bibliographical note

Publisher Copyright:
© 2020, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-030-34732-1_4

Cite this

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Finitely Additive Measures

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