ON THE CENTRAL LIMIT THEOREM IN PRODUCT SPACES

(整期优先)网络出版时间:1995-04-14
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SupposethatEandFareseparableBanachspaces,XandYareindependentsymmetricEandF-valuedrandomvectorsrespectively.ThispaperisdevotedtothestudyofthecentrallimittheoremforX(○×)YintheinjoctiveandprojectivetensorproductspacesE(∨○×)FandE(∧○×)F.Specialattentionispaidtoι2(∧○×)ι2.Inaddition,twocounter-examplesaregiven.