Numerical radius inequalities for products and sums of semi-Hilbertian space operators-Reference-Cited by-同舟云学术

Numerical radius inequalities for products and sums of semi-Hilbertian space operators

Published:2022 Issue:4 Volume:36 Page:1415-1431
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Bhunia Pintu¹,Feki Kais²,Paul Kallol¹

Affiliation:

1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

2. University of Monastir, Faculty of Economic Sciences and Management of Mahdia, Mahdia, Tunisia + Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

New inequalities for the A-numerical radius of the products and sums of operators acting on a semi-Hilbert space, i.e. a space generated by a positive semidefinite operator A, are established. In particular, for every operators T and S which admit A-adjoints, it is proved that ?A(TS) ? 1/2?A(ST) + 1/4 (||T||A||S||A + ||TS||A), where ?A(T) and ||T||A denote the A-numerical radius and the A-operator seminorm of an operator T respectively.

Publisher

National Library of Serbia

Subject

General Mathematics

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