Volume 33 • Number 3 • 2010   • Martingale Convergence Theorems in JW-Algebras Abdusalom Karimov and Farrukh Mukhamedov Abstract. In this paper certain properties of conditional expectations of reversible JW-algebra A with a faithful semifinite normal trace are studied. As an application of these results, we prove convergence theorems for supermartingales and martingales defined on such algebras. 2010 Mathematics Subject Classification: 46L50, 46L55, 46L53, 47A35, 35A99. Full text: PDF