数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 525-532.
邱德华,甘师兴
QIU De-Hua, GAN Shi-Xin
摘要:
This paper introduces the concept of BC sequences and investigates some
conditions which imply the strong law of large numbers for these sequences. The authors
also study the strong law of large numbers for general random variable sequences. As
applications of the result the authors characterize p-smoothableness of Banach space. Some
generalizations of Petrov theorem, the Marcinkiewicz-Zygmund theorem and Hoffmann-
Jørgensen and Pisier theorem are obtained.
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