【摘要】Let(Ω,F,P)beaprobabilityspaceandL0(F,R)thealgebraofequivalenceclassesofreal-valuedrandomvariableson(Ω,F,P).WhenL0(F,R)isendowedwiththetopologyofconvergenceinprobability,weproveanintermediatevaluetheoremforacontinuouslocalfunctionfromL0(F,R)toL0(F,R).Asapplicationsofthistheorem,wefirstgiveseveral
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