Ferdowsi University of Mashhad

output

20002026

most citedHealthFog: An Ensemble Deep Learning based Smart Healthcare System for Automatic Diagnosis of Heart Diseases in Integrated IoT and Fog Computing Environments

668 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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86 papers · 1 filter

math.FA2024★ 3 cited

Extensions of the Hilbert-multi-norm in Hilbert $C^{*}$ -modules

Sajjad Abedi, Mohammad Sal Moslehian

Dales and Polyakov introduced a multi-norm $(∥ \cdot ∥_{n}^{(2, 2)} : n \in N)$ based on a Banach space $X$ and showed that it is equal with the…

math.FA2024

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…

math.FA2023

Matrix Inequalities between $f (A) σ f (B)$ and $A σ B$

Manisha Devi, Jaspal Singh Aujla, Mohsen Kian +1

Let $A$ and $B$ be $n \times n$ positive definite complex matrices, let $σ$ be a matrix mean, and let $f : [0, \infty) \to [0, \infty)$ be a differentiable convex function with $f(0)=…

math.FA2021★ 9 cited

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 $w (A)$ of a bounded linear operator $A$ defined on a complex Hilbert space, which improve the existing inequality $w^2(A)\g…

math.FA2020★ 2 cited

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…

math.FA2020★ 7 cited

Operator equalities and Characterizations of Orthogonality in Pre-Hilbert $C^{*}$ -Modules

Rasoul Eskandari, M. S. Moslehian, Dan Popovici

In the first part of the paper, we use states on $C^{*}$ -algebras in order to establish some equivalent statements to equality in the triangle inequality, as well as to the parallelo…

math.FA2020★ 6 cited

Asymmetric Choi--Davis inequalities

Mohsen Kian, M. S. Moslehian, R. Nakamoto

Let $Φ$ be a unital positive linear map and let $A$ be a positive invertible operator. We prove that there exist partial isometries $U$ and $V$ such that \[ |Φ(f(A))Φ(A)Φ(g(A))|\le…

math.FA2019★ 1 cited

Variants of Ando--Hiai type inequalities for deformed means and applications

Mohsen Kian, M. S. Moslehian, Yuki Seo

For an $n$ -tuple of positive invertible operators on a Hilbert space, we present some variants of Ando--Hiai type inequalities for deformed means from an $n$ -variable operator mean…

math.FA2019

Modulation invariant spaces on locally compact abelian groups

M. Mortazavizadeh, R. Raisi Tousi

We define and investigate modulation invariant spaces on a locally compact abelian group $G$ with respect to a closed subgroup of the dual group $G$ . Using a range functi…

math.FA2019★ 79 cited

Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

M. S. Moslehian, Q. Xu, A. Zamani

Let $A$ be a positive bounded operator on a Hilbert space $(H, ⟨ \cdot, \cdot ⟩)$ . The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\ra…

math.FA2019★ 18 cited

Halmos' two projections theorem for Hilbert $C^{*}$ -module operators and the Friedrichs

Wei Luo, Mohammad Sal Moslehian, Qingxiang Xu

Halmos' two projections theorem for Hilbert space operators is one of the fundamental results in operator theory. In this paper, we introduce the term of two harmonious projections…

math.FA2019★ 48 cited

Positivity of $2 \times 2$ block matrices of operators

Mohammad Sal Moslehian, Mohsen Kian, Qingxiang Xu

We review some of the significant generalizations and applications of the celebrated Douglas theorem on the equivalence of factorization, range inclusion, and majorization of opera…

math.FA2018★ 1 cited

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…

math.FA2018★ 4 cited

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…

math.FA2018★ 21 cited

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…

math.FA2017★ 11 cited

An extension of orthogonality relations based on norm derivatives

A. Zamani, M. S. Moslehian

We introduce the relation $ρ_{λ}$ -orthogonality in the setting of normed spaces as an extension of some orthogonality relations based on norm derivatives, and present some of its ess…

math.FA2017★ 3 cited

Approximately angle preserving mappings

Mohammad Sal Moslehian, Ali Zamani, Paweł Wójcik

In this paper, we present some characterizations of linear mappings, which preserve vectors at a specific angle. We introduce the concept of $(ε, c)$ -angle preserving map…

math.FA2017★ 18 cited

Quadratic interpolation of the Heinz means

Fuad Kittaneh, Mohammad Sal Moslehian, Mohammad Sababheh

The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the refining term is a qu…

math.FA2017★ 17 cited

Norm inequalities related to the Heron and Heinz means

Y. Kapil, C. Conde, M. S. Moslehian +2

In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron an…

math.FA2017★ 9 cited

Operator maps of Jensen-type

Frank Hansen, Mohammad Sal Moslehian, Hamed Najafi

Let $B_{J} (H)$ denote the set of self-adjoint operators acting on a Hilbert space $H$ with spectra contained in an open interval $J$ . A map $Φ\colon\mathb…

math.FA2017★ 57 cited

Relative Entropy and Tsallis Entropy of two Accretive Operators

M. Raïssouli, M. S. Moslehian, S. Furuichi

Let $A$ and $B$ be two accretive operators. We first introduce the weighted geometric mean of $A$ and $B$ together with some related properties. Afterwards, we define the relative…

math.FA2017★ 11 cited

Solutions of the system of operator equations $B X A = B = A X B$ via $*$ -order

Mehdi Vosough, Mohammad Sal Moslehian

In this paper, we establish some necessary and sufficient conditions for the existence of solutions to the system of operator equations $B X A = B = A X B$ in the setting of bounded line…

math.FA2017

Gabor Tight Fusion Frames: Construction and Applications in Signal Retrieval Modulo Phase

Mozhgan Mohammadpour, Brian Tuomanen, Rajab Ali Kamyabi Gol

Hilbert space fusion frames are a natural extension of Hilbert space frames, extending the notion from a set of vectors in a Hilbert space to a set of subspaces of a Hilbert space…

math.FA2016

Estimates of operator convex and operator monotone functions on bounded intervals

M. Fujii, M. S. Moslehian, H. Najafi +1

Recently the behavior of operator monotone functions on unbounded intervals with respect to the relation of strictly positivity has been investigated. In this paper we deeply study…

Extensions of the Hilbert-multi-norm in Hilbert C∗-modules