## 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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