Uniform boundedness theorems in Riesz spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English

Authors: BOCCUTO, Antonio; CANDELORO, Domenico;

handle: 11391/156808

Uniform boundedness theorems in Riesz spaces

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Abstract

In this paper some versions of the Uniform Boundedness Principle are proved, for set functions with values in a Riesz space, and some extensions of previous results due to Swartz are obtained. Examples are then given, to illustrate some essential differences between the classic and the Riesz space settings.

Related Organizations

University of Perugia
Italy

Keywords

Riesz Spaces; measures; Vitali-Hahn-Saks Theorems; uniform s-boundedness; uniform boundedness principle

1 Research products, page 1 of 1

Uniform s-Boundedness and Convergence Results for Measures with Values in Complete l-Groups
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