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On the continuity of random operators. (English) Zbl 0896.47033

Summary: We study when an arbitrary linear random operator between Banach spaces must behave as a continuous operator on some measurable set with positive measure. We deal with the continuity in probability as well as the continuity in \(r\)-mean.

MSC:

47B80 Random linear operators
60H25 Random operators and equations (aspects of stochastic analysis)
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