the uniform boundedness principle for order bounded operators
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.
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188822
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0x95644003c57E6F55A65596E3D9Eac6813e3566dA
Article ID:
188822
Unique Identifier:
10.1155/S0161171289000621
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Scimatic Chain (ID: 481)
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