Bingham, N. H. and Ostaszewski, Adam 
ORCID: 0000-0003-2630-8663
(2007)
The converse Ostrowski theorem.
.
London School of Economics and Political Science, London, UK.
Abstract
The Ostrowski theorem in question is that an additive function bounded (above, say) on a set T of positive measure is continuous. In the converse direction, recall that a topological space T is pseudocompact if every function continuous on T is bounded. Thus theorems of `converse Ostrowski' type relate to `additive (pseudo)compactness'. We give a different characterization of such sets, in terms of the property of `generic subuniversality', arising from the Kestelman-Borwein-Ditor theorem.
| Item Type: | Monograph (Report) |
|---|---|
| Official URL: | http://www.cdam.lse.ac.uk/Reports/ |
| Additional Information: | © 2007 London school of economics & political science |
| Divisions: | Mathematics |
| Subjects: | H Social Sciences > H Social Sciences (General) |
| Date Deposited: | 10 Jul 2008 08:38 |
| Last Modified: | 12 Dec 2024 05:46 |
| URI: | http://eprints.lse.ac.uk/id/eprint/6832 |
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