Improved inequalities for the extension of Euclidean numerical radius | Zendy

Akram Babri Bajmaeh | Zendy; Mohsen Erfanian Omidvar | Zendy

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Improved inequalities for the extension of Euclidean numerical radius

Author(s) -

Akram Babri Bajmaeh,

Mohsen Erfanian Omidvar

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1914519b

Subject(s) - mathematics , extension (predicate logic) , radius , euclidean geometry , inequality , combinatorics , euclidean distance , mathematical analysis , pure mathematics , geometry , computer security , computer science , programming language

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?.

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