191 citations · 1.6k across the 128 of their papers we have counts for
5 papers · 1 filter
Non-commutative Stein inequality and its applications
Ali Talebi, Mohammad Sal Moslehian
The non-commutative Stein inequality asks whether there exists a constant depending only on such that \begin{equation*} \left\| \left(\sum_{n} |\mathcal{E}_{n} (x_…
A variance bound for a general function of independent noncommutative random variables
Ali Talebi, Mohammad Sal Moslehian
The main purpose of this paper is to establish a noncommutative analogue of the Efron--Stein inequality, which bounds the variance of a general function of some independent random…
Operator Ky Fan type inequalities
S. Habibzadeh, J. Rooin, M. S. Moslehian
In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions. Among other things, we pr…
Sharp inequalities for the numerical radius of block operator matrices
M. Ghaderi Aghideh, M. S. Moslehian, J. Rooin
In this paper, we present several sharp upper bounds for the numerical radii of the diagonal and off-diagonal parts of the block operator matrix $\begin{bmatrix}A&B\\ C&…
Douglas factorization theorem revisited
Vladimir Manuilov, Mohammad Sal Moslehian, Qingxiang Xu
Inspired by the Douglas lemma, we investigate the solvability of the operator equation in the framework of Hilbert C*-modules. Utilizing partial isometries, we present its g…