Weak Convergence in$$L:\infty (X, \mathcal L, \lambda )$$

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


This chapter opens by observing the relation between Dirac measures acting on C and elements of acting on. This leads to a pointwise characterisation of weakly convergent sequences in that settles some quite subtle questions about the weak convergence of specific sequences that are pointwise convergent.

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 pages9
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

  • General Mathematics


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