The uniform boundedness principle for order bounded operators

Charles Swartz

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-6

Abstract:

Under appropriate hypotheses on the spaces, it is shown that a sequence of order bounded linear operators which is pointwise order bounded is uniformly order bounded on order bounded subsets. This result is used to establish a Banach-Steinhaus Theorem for order bounded operators.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:545937

DOI: 10.1155/S0161171289000621

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