Reconciling Representations

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


This chapter deals with the fact that in a general setting are isometrically isomorphic even though the dual of is represented by finitely additive measures, while the dual of C is represented by countably additive measures. Then, in the special case when X is a locally compact Hausdorff topological space, bounded linear functionals which on are represented by finitely additive measures are represented by countably additive measures when restricted to continuous functions. The relation between these two measures is explored in detail.

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.
Number of pages7
ISBN (Electronic)9783030347321
ISBN (Print)9783030347314
Publication statusE-pub ahead of print - 3 Jan 2020

Publication series

NameSpringerBriefs 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 2021 Elsevier B.V., All rights reserved.

ASJC Scopus subject areas

  • Mathematics(all)


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