This article is cited in 5 papers

Papers published in the English version of the journal

A Convex-Block Approach to Numerical Radius Inequalities

Mohammad Sababheh^a, Cristian Conde^bc, Hamid Reza Moradi<sup>d

a</sup> Vice president, Princess Sumaya University for Technology, Amman, Jordan
^b Instituto de Ciencias, Universidad Nacional de General Sarmiento, Argentina
^c Consejo Nacional de Investigaciones Cientíificas y Tecnicas, Argentina
^d Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract: A simple convex approach and block techniques are used to obtain new sharpened versions of numerical radius inequalities for Hilbert space operators. These include comparisons of norms of operators, their Cartesian parts, their numerical radii, and the numerical radius of the product of two operators.

Keywords: numerical radius, norm inequality, Cartesian decomposition, triangle inequality.

MSC: Primary 47A12, 47A30; Secondary 15A60, 47B15

Received: 29.11.2022
Revised: 22.05.2023
Accepted: 24.05.2023

Language: English

DOI: 10.1134/S0016266323050039

 English version: Functional Analysis and Its Applications, 2023, 57:S1, S26–S30

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