Topology on$$\mathfrak {G}$$

John Toland

doi:10.1007/978-3-030-34732-1_7

Topology on$$\mathfrak {G}$$

John Toland

Department of Mathematical Sciences

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

Abstract

This chapter introduces a compact Hausdorff topology on and from theory already developed derives the existence of an isometric isomorphism between the Banach algebra and the space of real-valued continuous functions C. This leads to, among other things, a duality between weak convergence in and weak convergence in C.

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	57-66
Number of pages	10
ISBN (Electronic)	9783030347321
ISBN (Print)	9783030347314
DOIs	https://doi.org/10.1007/978-3-030-34732-1_7
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_7

Cite this

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Topology on$$\mathfrak {G}$$

Abstract

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ASJC Scopus subject areas

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