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20072020
most citedA Mazur--Ulam theorem in non-Archimedean normed spaces

61 citations · 104 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.OA2017★ 9 cited

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…

math.OA2017★ 5 cited

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…

math.OA2014★ 11 cited

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…

math.OA2014

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…

math.OA2014

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…

math.OA2008★ 16 cited

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…