4 papers
Maximal inequalities in quantum probability spaces
Gh. Sadeghi, M. S. Moslehian, A. Talebi
We employ some techniques involving projections in a von Neumann algebra to establish some maximal inequalities such as the strong and weak symmetrization, Levy, Levy-Skorohod, and…
Dual and multiplier of -fusion frames
Mitra Shamsabadi, Ali Akbar Arefijamaal, Ghadir Sadeghi
In this paper, we introduce the concept of -fusion frames and propose the duality for such frames. The relation between the local frames of -fusion frames with their dual is…
Etemadi and Kolmogorov inequalities in noncommutative probability spaces
Ali Talebi, Mohammad Sal Moslehian, Ghadir Sadeghi
Based on a maximal inequality type result of Cuculescu, we establish some noncommutative maximal inequalities such as Hajék--Penyi inequality and Etemadi inequality. In addition, w…
Noncommutative Blackwell-Ross martingale inequality
Ali Talebi, Mohammad Sal Moslehian, Ghadir Sadeghi
We establish a noncommutative Blackwell--Ross inequality for supermartingales under a suitable condition which generalize Khan's works to the noncommutative setting. We then employ…