Cookies?
Library Header Image
LSE Research Online LSE Library Services

The converse Ostrowski theorem

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.

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
Library of Congress subject classification: H Social Sciences > H Social Sciences (General)
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2007-25
Date Deposited: 10 Jul 2008 08:38
URL: http://eprints.lse.ac.uk/6832/

Actions (login required)

Record administration - authorised staff only Record administration - authorised staff only