Generalized Euclidean operator radius

Author:

Alomari Mohammad W.1,Sababheh Mohammad2,Conde Cristian3,Moradi Hamid Reza4

Affiliation:

1. Department of Mathematics , Faculty of Science and Information Technology , Jadara University , Irbid 21110 , Jordan

2. Department of Basic Sciences , Princess Sumaya University for Technology , Amman , Jordan

3. Instituto de Ciencias , Universidad Nacional de General Sarmiento , Buenos Aires ; and Consejo Nacional de Investigaciones Científicas y Tecnicas , Argentina

4. Department of Mathematics , Mashhad Branch , Islamic Azad University , Mashhad , Iran

Abstract

Abstract In this paper, we introduce the f-operator radius of Hilbert space operators as a generalization of the Euclidean operator radius and the q-operator radius. The properties of the newly defined radius are discussed, emphasizing how it extends some known results in the literature.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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3. Inner product inequalities with applications;Linear and Multilinear Algebra;2024-02-07

4. Numerical radii of operator matrices in terms of certain complex combinations of operators;Georgian Mathematical Journal;2024-01-02

5. Norm and numerical radius inequalities for operator matrices;Linear and Multilinear Algebra;2023-12-27

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