Bingham, N. H. and Ostaszewski, Adam (2007) The converse Ostrowski theorem. LSE-CDAM-2007-25. London school of economics & political science, London, UK.Full text not available from this repository.
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)|
|Additional Information:||© 2007 London school of economics & political science|
|Library of Congress subject classification:||H Social Sciences > H Social Sciences (General)|
|Sets:||Departments > Mathematics|
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