The convergence rate in noncommutative probability space have been established by several authors, ., Jajte [6], G¨otze and Tikhomirov [5], Chistyakov and G¨otze [3] and Stoica [13]. In particular, the authors in [3] gave estimates of the Lévy distance for freely independent partial sums and the author in [13] proved the Baum and Katz theorem in noncommutative Lorentz spaces. In this paper, we present some results on convergence rate for sequences of measurable operators under various conditions. | Convergence rate for sequences of measurable operators in noncommutative probability space
