Maria Victoria Velasco, A. R. Villena
Abstract
In this work 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.
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In this work 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.
Key concepts: Mathematics, Operator (biology), Banach space, Probability measure, Measure (data warehouse), Absolute continuity, Set (abstract data type), Unbounded operator