巴拿赫空间中的概率论

ThisbooktriestopresentsomeofthemainaspectsofthetheoryofProbabilityinBanachspaces，fromthefoundationsofthetopictothelatestdevelopmentsandcurrentresearchquestions.ThepasttwentyyearssawintenseactivityinthestudyofclassicalProbabilityTheoryoninfinitedimensionalspaces.vectorvaluedrandomvariables，boundednessandcontinuityofran-domprocesses，withafruitfulinteractionwithclassicalBanachspacesandtheirgeometry.Alargecommunityofmathematicians，fromclassicalprobabiliststopureanalystsandfunctionalanalysts，participatedtothiscommonachievement.Therecentuseofisoperimetrictoolsandconcentrationofmeasurephenomena，andofabstractrandomprocesstechniqueshasledtodaytoratheracompletepictureofthefield.Thesedevelopmentspromptedtheauthorstoundertakethewritingofthisexpositionbasedonthismodernpointofview.Thisbookdoesnotpretendtocoveralltheaspectsofthesubjectandofitsconnectionswithotherfields.Inspiteofitsommissions，imperfectionsanderrors，forwhichwewouldliketoapologize，wehopethatthisworkgivesanattractivepictureofthesubjectandwillserveitappropriately.