[1]  Day M M. Uniform convexity infactor and cojugate spaces. Ann Math, 1944, 45: 375--385

[2]  Woyczynski W A. Geometry and martingales in Banach spaces. Lecture Notes in Math, 1975, 472: 229--275

[3]  Gan Shixin. Moment inequalities for $B$-valued random vectors with applications to the strong limit theorems. Statist Probab Letters,  2004, 67: 111--119

[4]  Pisier G. Martingales with values in uniformly convex spaces. Israel Journal of Mathematics, 1975, 20: 326--350

[5]  Assouad P. Espace $p$-lisses at $q$-convexes, Integalities de Burkholder. Seminaire Maurey-Schwartz, Exp XV. Paris: Ecole Polytech,  1975

[6]  Woyczynski W A. On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence. Probab Math Statist, 1980, 1: 117--131

[7]  Bryc W, Smolenski W. Moment conditions for almost sure convergence of weakly correlated random variables. Proc Amer Math Soc, 1993, 119(2): 629--635

[8]  Rosenthal H P. On the subspace of L^p(p>2) spanned by sequence of independent random variables. Israel J Math, 1970, 8: 273--303

[9]  Rosenthal H P. On the span in $L^p$ of sequences of independent random variables. Sixth Berkeley Symp Math Statist Probability 2.
Berkeley and Los Angeles:  Uni California Press, 1972: 149--167

[10]  Petrov V V. Limit Theorems for Sums of Independent Random Variables. Moscow: Nauka (in Russian), 1987

[11]  Hall P L, Heyde C C. Martingale Limit Theory and Its Application. New York: Academic Press, 1980

[12]  Chatterji S D. Martingale convergence and Randon-Nikodym theorem in Banach space. Math Scand, 1968, 22: 21--41

[13]  Hsu P L, Robbins H. Complete convergence and law of large numbers. Proc Nat Acad Sci, 1947, 33: 25--31

[14]  Hu T C, Taylor R L. On the strong law for arrays and for the bootstrap mean and variance. Internat J Math and Math Sci, 1997, 20: 375--382

[15]  Bozorgnia A, Patterson R F, Taylor R L. On strong laws of large numbers for arrays of rowwise independent random elements. Internat J Math and Math Sci, 1993, 16: 587--592