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.
Uniform boundedness theorems in Riesz spaces
BOCCUTO, Antonio;CANDELORO, Domenico
2004
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.File in questo prodotto:
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