International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 1, Pages 29-42
doi:10.1155/S0161171200002945
On conditions for the strong law of large numbers in general Banach spaces
Anna Kuczmaszewska1
and Dominik Szynal2
1Technical University of Lublin, Department of Applied Mathematics, Bernardyńska 13, Lublin 20-950, Poland
2Department of Mathematics, Maria Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, Lublin 20-031, Poland
Abstract
We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.