International Journal of Mathematical Research 2311-7427 2306-2223 10.18488/journal.24/2016.5.2/24.2.123.130 International Journal of Mathematical Research The Hartman-Wintner Law of the Iterated Logarithm for Noncommutative Martingales International Journal of Mathematical Research International Journal of Mathematical Research 02-2016 2016 02-2016 02-2016 5 2 123 130 30 Nov 30 Nov In this study, we prove one of the fundamental strong laws of classical probability theory, the Hartman-Wintner’s law of the iterated logarithm for non-commutative martingale using a simple exponential inequality.<br>