21 citations · 66 across the 27 of their papers we have counts for
30 papers
Operator Schmidt Rank and the Geometry of Schmidt Profiles
Mohsen Kian, Mohammad Sal Moslehian
The main result of the paper states that if , , and , then for every , \begin{equation*} \min\left\{OS…
On the Commutant of Invertible Positive Operators
Fuad Kittaneh, Carlos S. Kubrusly, Mohammad Sal Moslehian
An important result due to Radjabalipour asserts that if ${A\in\BB(\H)}$ is an invertible positive operator and ${T\in\BB(\H)}$ is arbitrary, then the operator sequence $\{A^{-n}TA…
Convergence of Random Products of Projections Under Infinite-Periodic Selections
Rasoul Eskandari, Mohammad Sal Moslehian
Let be a sequence of projections onto the closed subspaces of a Hilbert space . Consider an infinite sequence with…
Spectral geometric mean and trace characterizations
Airat Bikchentaev, Trung Hoa Dinh, Anh Vu Le +1
We use nearly parallel pure states to characterize positive linear functionals on as positive multiples of the trace if and only if $ϕ(A \natural B) \leq \sqrt{ϕ…
Extensions of the Hilbert-multi-norm in Hilbert -modules
Sajjad Abedi, Mohammad Sal Moslehian
Dales and Polyakov introduced a multi-norm based on a Banach space and showed that it is equal with the…
Operator mean inequalities and Kwong functions
Nahid Gharakhanlu, Mohammad Sal Moslehian, Hamed Najafi
In this paper, we study operator mean inequalities for the weighted arithmetic, geometric and harmonic means. We give a slight modification of Audenaert's result to show the relati…
Separated Pairs of Submodules in Hilbert -modules
R. Eskandari, W. Luo, M. S. Moslehian +2
We introduce the notion of the separated pair of closed submodules in the setting of Hilbert -modules. We demonstrate that even in the case of Hilbert spaces this concept has…
Convergence of Random Products of Countably Infinitely Many Projections
Rasoul Eskandari, Mohammad Sal Moslehian
Let be a fixed number and let be the projection onto the closed subspace of . We are inter…
Matrix Inequalities between and
Manisha Devi, Jaspal Singh Aujla, Mohsen Kian +1
Let and be positive definite complex matrices, let be a matrix mean, and let be a differentiable convex function with $f(0)=…
A new estimation of the quantum Chernoff bound
Mohsen Kian, Trung Hoa Dinh, Mohammad Sal Moslehian +1
Relating to finding possible upper bounds for the probability of error for discriminating between two quantum states, it is well-known that \begin{align*} \mathrm{tr}(A+B) - \mathr…
Decomposition of tracial positive maps and applications in quantum information
Ali Dadkha, Mohsen Kian, Mohammad Sal Moslehian
Every positive multilinear map between -algebras is separately weak-continuous. We show that the joint weak-continuity is equivalent to the joint weak-continuity o…
Pedersen--Takesaki operator equation in Hilbert -modules
R. Eskandari, X. Fang, M. S. Moslehian +1
We extend a work of Pedersen and Takesaki by giving some equivalent conditions for the existence of a positive solution of the so-called Pedersen--Takesaki operator equation $XHX=K…
Power-norms based on Hilbert -modules
Sajjad Abedi, Mohammad Sal Moslehian
Suppose that and are Hilbert -modules. We present a power-norm based on $\mathsc…
Improved inequalities for the numerical radius via Cartesian decomposition
Pintu Bhunia, Suvendu Jana, Mohammad Sal Moslehian +1
We develop various lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve the existing inequality $w^2(A)\g…
Similarities and differences between real and complex Banach spaces: an overview and recent developments
M. S. Moslehian, G. A. Muñoz-Fernández, A. M. Peralta +1
There are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern expositi…
Vector-valued reproducing kernel Hilbert -modules
M. S. Moslehian
The aim of this paper is to present a unified framework in the setting of Hilbert -modules for the scalar- and vector-valued reproducing kernel Hilbert spaces and -valued…
Left multipliers of reproducing kernel Hilbert -modules and the Papadakis theorem
M. Ghaemi, V. M. Manuilov, M. S. Moslehian
We give a modified definition of a reproducing kernel Hilbert -module (shortly, ) without using the condition of self-duality and discuss some related aspects; in par…
Hilbert -module independence
R. Eskandari, J. Hamhalter, M. S. Moslehian +1
We introduce the notion of Hilbert -module independence: Let be a unital -algebra and let , be ternary subspa…
Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
L. Bernal-González, M. S. Moslehian, J. B. Seoane-Sepúlveda
In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces.…
Variants of Ando--Hiai type inequalities for deformed means and applications
Mohsen Kian, M. S. Moslehian, Yuki Seo
For an -tuple of positive invertible operators on a Hilbert space, we present some variants of Ando--Hiai type inequalities for deformed means from an -variable operator mean…
Numerical radius inequalities concerning with algebraic norms
A. Zamani, M. S. Moslehian, Q. Xu +1
We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also…
Extensions of the Lax-Milgram theorem to Hilbert C*-modules
R. Eskandari, M. Frank, V. M. Manuilov +1
We present three versions of the Lax-Milgram theorem in the framework of Hilbert C*-modules, two for those over W*-algebras and one for those over C*-algebras of compact operators.…
Non-linear positive maps between -algebras
Ali Dadkhah, Mox Sal Moslehian
We present some properties of (not necessarily linear) positive maps between -algebras. We first extend the notion of Lieb functions to that of Lieb positive maps between $C^*…
Norm-parallelism and the Davis--Wielandt radius of Hilbert space operators
A. Zamani, M. S. Moslehian, M. T. Chien +1
We present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff--James orth…