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

John Toland

doi:10.1007/978-3-030-34732-1_8

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

John Toland

Department of Mathematical Sciences

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

Abstract

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 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	67-75
Number of pages	9
ISBN (Electronic)	9783030347321
ISBN (Print)	9783030347314
DOIs	https://doi.org/10.1007/978-3-030-34732-1_8
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

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10.1007/978-3-030-34732-1_8

Cite this

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

Abstract

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