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 |
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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 | |
Publication status | E-pub ahead of print - 3 Jan 2020 |
Publication series
Name | SpringerBriefs in Mathematics |
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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