Further inequalities for the numerical radius of Hilbert space operators

Sara Tafazoli; Hamid Reza Moradi; Shigeru Furuichi; Panackal Harikrishnan

doi:10.7153/jmi-2019-13-68

Further inequalities for the numerical radius of Hilbert space operators

Sara Tafazoli
, Hamid Reza Moradi
, Shigeru Furuichi
, Panackal Harikrishnan

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.

Original language	English
Pages (from-to)	955-967
Number of pages	13
Journal	Journal of Mathematical Inequalities
Volume	13
Issue number	4
DOIs	https://doi.org/10.7153/jmi-2019-13-68
Publication status	Published - 01-01-2019

All Science Journal Classification (ASJC) codes

Analysis

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10.7153/jmi-2019-13-68

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title = "Further inequalities for the numerical radius of Hilbert space operators",

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Further inequalities for the numerical radius of Hilbert space operators

Abstract

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