Affiliation:
1. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract
This paper aims to discuss inequalities involving extension of Euclidean
numerical radius. We obtain a refinement of the inequality shown by Sattari
et al. We give an improvement of the inequality presented by Kittaneh for
the numerical radius. In fact we show that if T ? B(H), then ?2(T) ? 1/2
||T*T + TT*||-inf ||x||=1 ?(x), where ?(x) = ?(|T|- ?|T|x,x?|2
+ ||T*|- ?|T*|x,x?|2)x,x?.
Publisher
National Library of Serbia
Cited by
1 articles.
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1. Generalized Euclidean operator radius;Georgian Mathematical Journal;2023-11-30