Journal of Applied Analysis EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 3, No. 1, pp. 93-102 (2003)

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On the continuity of random operators

M.V. Velasco and A.R. Villena

Departamento de Analisis Matematico
Universidad de Granada
18071 Granada, Spain
vvelasco@goliat.ugr.es
avillena@goliat.ugr.es

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.

Keywords: Probably continuous random operator, continuity in probability, continuity in $r$-mean

Classification (MSC2000): 47B80, 60H25

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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.

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