61 citations · 104 across the 8 of their papers we have counts for
9 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…
Noncommutative martingale concentration inequalities
Ghadir Sadeghi, Mohammad Sal Moslehian
We establish an Azuma type inequality under a Lipshitz condition for martingales in the framework of noncommutative probability spaces and apply it to deduce a noncommutative Heoff…
Inequalities for sums of random variables in noncommutative probability spaces
Ghadir Sadeghi, Mohammad Sal Moslehian
In this paper, we establish an extension of a noncommutative Bennett inequality with a parameter and use it together with some noncommutative techniques to establish…
Inequalities for trace on -measurable operators
M. S. Moslehian, Gh. Sadeghi
Let be a semifinite von Neumann algebra on a Hilbert space equipped with a faithful normal semifinite trace . A closed densely defined operator affiliated wit…
Perturbation of the Wigner equation in inner product C*-modules
J. Chmielinski, D. Ilisevic, M. S. Moslehian +1
Let $\A$ be a -algebra and $\B$ be a von Neumann algebra that both act on a Hilbert space $\Ha$. Let $\M$ and be inner product modules over $\A$ and $\B$, respectively. U…
A Mazur--Ulam theorem in non-Archimedean normed spaces
Mohammad Sal Moslehian, Ghadir Sadeghi
The classical Mazur--Ulam theorem which states that every surjective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we…