191 citations · 1.6k across the 128 of their papers we have counts for
38 papers · 1 filter
Conjugations on Hilbert -modules
Mahboubeh Faregh, Rasoul Eskandari, Mohammad Sal Moslehian
This work initiates a systematic development of conjugation theory within the framework of Hilbert -modules, extending classical complex symmetric operator theory beyond the H…
B-spline interpolation problem in Hilbert C*-modules
Rasoul Eskandari, Michael Frank, Vladimir Manuilov +1
We introduce the -spline interpolation problem corresponding to a -valued sesquilinear form on a Hilbert -module and study its basic properties as well as the uniquene…
Noncommutative versions of inequalities in quantum information theory
Ali Dadkhah, Mohammad Sal Moslehian, Kenjiro Yanagi
In this paper, we aim to replace in the definitions of covariance and correlation the usual trace {\rm Tr} by a tracial positive map between unital -algebras and to replace th…
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_…
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…
On majorization and range inclusion of operators on Hilbert -modules
Xiaochun Fang, Mohammad Sal Moslehian, Qingxiang Xu
It is proved that for adjointable operators and between Hilbert -modules, certain majorization conditions are always equivalent without any assumptions on $\overline{\…