Almost sure convergence of the general jamison weighted sum of B-valued random variables

作者：Su C^*; Tong TJ

来源：Acta Mathematica Sinica-English Series, 2004, 20(1): 181-192.

DOI：10.1007/s10114-003-0286-y

• almost sure convergence
• B-valued random variable
• general Jamison weighted sum
• p-smooth Banach space
• Banach space of type p

In this paper, two new functions are introduced to depict the Jamison weighted sum of random variables instead using the common methods, their properties and relationships are systematically discussed. We also analysed the implication of the conditions in previous papers. Then we apply these consequences to B-valued random variables, and greatly improve the original results of the strong convergence of the general Jamison weighted sum. Furthermore, our discussions tire useful to the corresponding questions of real-valued random variables.

• 出版日期2004-2
• 单位中国科学技术大学