Abstract
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 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 | 87-93 |
| Number of pages | 7 |
| ISBN (Electronic) | 9783030347321 |
| ISBN (Print) | 9783030347314 |
| DOIs | |
| 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