Title : ( MARTINGALE INEQUALITIES IN THE NONCOMMUTATIVE PROBABILITY SPACES )
Authors: ali talebi , Mohammad Sal Moslehian , Gh. Sadeghi ,
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Abstract
n this paper, we prove that if x = (xj )0≤j≤n is a self-adjoint martingale in M with x0 = 0 such that −α ≤ dxj ≤ β for some positive constants α, β (1 ≤ j ≤ n), in which dxj = xj −xj−1 is its associated martingale difference, then for any positive values a, b, there exists i ≥ 1 such that for any positive integer m
Keywords
Noncommutative probability space; trace; Blackwell–Ross martingale inequality; martingale.
@inproceedings{paperid:1070695,
author = {Talebi, Ali and Sal Moslehian, Mohammad and Gh. Sadeghi},
title = {MARTINGALE INEQUALITIES IN THE NONCOMMUTATIVE PROBABILITY SPACES},
booktitle = {چهارمین سمینار نظریه عملگرها و کاربردهای آن},
year = {2018},
location = {بجنورد, IRAN},
keywords = {Noncommutative probability space; trace; Blackwell–Ross martingale inequality; martingale.},
}
%0 Conference Proceedings
%T MARTINGALE INEQUALITIES IN THE NONCOMMUTATIVE PROBABILITY SPACES
%A Talebi, Ali
%A Sal Moslehian, Mohammad
%A Gh. Sadeghi
%J چهارمین سمینار نظریه عملگرها و کاربردهای آن
%D 2018
