Mohammad Sal Moslehian

Ferdowsi University of Mashhad

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Madjid Mirzavaziri

Ferdowsi University of Mashhad

Mohsen Kian

University of Bojnord

Ghadir Sadeghi

Ferdowsi University of Mashhad

Ali Zamani

Damghan University

Sever S Dragomir

University of the Witwatersrand

Hamed Najafi

Ferdowsi University of Mashhad

Fuad Kittaneh

University of Jordan

Rasoul Eskandari

Politecnico di Milano

Farzad Dadipour

Graduate University of Advanced Technology

Ali Talebi

Ferdowsi University of Mashhad

Cooperative Institutions

Ferdowsi University of Mashhad

Institute of Mathematics

Uniwersytet Komisji Edukacji Narodowej w Krakowie

Czech Academy of Sciences, Institute of Mathematics

Jagiellonian University

Islamic Azad University, Mashhad

University of Zagreb

Mashhad University of Medical Sciences

Osaka Kyoiku University

Semnan University

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Operator extensions of parallelogram law

Mathematical Inequalities & Applications (2010)

Mohammad Sal Moslehian

Parallelogram

Operator (biology)

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Matrix and Operator Equations and Applications

Mathematics online first collections (2023)

Mohammad Sal Moslehian

Operator (biology)

Matrix (chemical analysis)

10.1007/978-3-031-25386-7

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Estimation of operator monotone functions

Mohammad Sal Moslehian

Operator (biology)

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Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas (2022)

Mohammad Sal Moslehian Gustavo A. Muñoz-Fernández Antonio M. Peralta Juan B. Seoane‐Sepúlveda

Abstract 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 exposition of the subtle differences between key results and theories for complex and real Banach spaces and the corresponding linear operators between them. We deeply discuss some aspects of the complexification of real Banach spaces and give several examples showing how drastically different can be the behavior of real Banach spaces versus their complex counterparts.

Exposition (narrative)

Linear operators

Complexification

10.1007/s13398-022-01222-8

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Ky Fan inequalities

arXiv (Cornell University) (2011)

Mohammad Sal Moslehian

There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.

10.48550/arxiv.1108.1467

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NEARLY TERNARY DERIVATIONS

Taiwanese Journal of Mathematics (2007)

Maryam Amyari Choonkil Baak Mohammad Sal Moslehian

Let $A$ be a normed algebra and $X$ a normed $A$-bimodule. By a ternary derivation we mean a triple $(D_1, D_2, D_3)$ of linear mappings $D_1, D_2, D_3: A \rightarrow X$ such that $D_1(ab) = D_2(a)b + aD_3(b)$ for all $a, b \in A$. Our aim is to establish the stability of ternary derivations associated with the extended Jensen functional equation \[ qf (\frac{\sum_{k=1}^q x_k} {q}) = \sum_{k = 1}^{q} f(x_k) \] for all $x_1, \cdots, x_q \in A$, where $q \gt 1$ is a fixed positive integer.

10.11650/twjm/1500404874

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Left multipliers of reproducing kernel Hilbert C⁎-modules and the Papadakis theorem

Journal of Mathematical Analysis and Applications (2021)

Mostafa Ghaemi Vladimir Manuilov Mohammad Sal Moslehian

Kernel (algebra)

Duality (order theory)

10.1016/j.jmaa.2021.125471

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OPERATOR KANTOROVICH TYPE INEQUALITY (幾何学及び確率論的手法による作用素の構造解析の研究 : RIMS研究集会報告集)

数理解析研究所講究録 (2013)

Mohammad Sal Moslehian

Operator (biology)

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Quantum Relative Entropy

Forum for interdisciplinary mathematics (2024)

А. М. Бикчентаев Fuad Kittaneh Mohammad Sal Moslehian Yūki Seo

10.1007/978-981-97-6520-1_7

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Superstability of adjointable mappings on Hilbert c∗-modules

Applicable Analysis and Discrete Mathematics (2009)

Michael Frank P. Găvruţa Mohammad Sal Moslehian

We define the notion of $\varphi$-perturbation of a densely defined adjointable mapping and prove that any such mapping $f$ between Hilbert ${\mathcal A}$-modules over a fixed $C^*$-algebra ${\mathcal A}$ with densely defined corresponding mapping $g$ is ${\mathcal A}$-linear and adjointable in the classical sense with adjoint $g$. If both $f$ and $g$ are everywhere defined then they are bounded. Our work concerns with the concept of Hyers--Ulam--Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in his paper [On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297--300]. We also indicate interesting complementary results in the case where the Hilbert $C^*$-modules admit non-adjointable $C^*$-linear mappings.

Linear map

Linear operators

Banach algebra

10.2298/aadm0901039f

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Citations (4)