FURTHER INEQUALITIES FOR THE NUMERICAL RADIUS OF HILBERT SPACE OPERATORS

被引：23

作者：

Tafazoli, Sara ^{[1
]}

Moradi, Hamid Reza ^{[2
]}

Furuichi, Shigeru ^{[3
]}

Harikrishnan, Panackal ^{[4
]}

机构：

[1] Islamic Azad Univ, Dept Math, Hormoz Branch, Hormoz Isl, Iran

[2] PNU, Dept Math, POB 19395-4697, Tehran, Iran

[3] Nihon Univ, Dept Informat Sci, Coll Humanities & Sci, Setagaya Ku, 3-25-40 Sakurajyousui, Tokyo 1568550, Japan

[4] Manipal Acad Higher Educ, Dept Math, Manipal Inst Technol, Manipal 576104, Karnataka, India

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 04期

关键词：

Operator inequality; norm inequality; numerical radius; convex function; f; -; connection; weighted arithmetic-geometric mean inequality;

D O I：

10.7153/jmi-2019-13-68

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 E1-Haddad and Kittaneh. Among several results, we show that if A is an element of B (H) and r >= 2 , then w(r) (A) <= parallel to A parallel to(r) - inf(parallel to x parallel to = 1) parallel to vertical bar vertical bar A vertical bar - w (A) vertical bar (r/2) x parallel to(2) where w ( . ) d parallel to.parallel to denote the numerical radius and usual operator norm, respectively.

引用

页码：955 / 967

页数：13

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