Numerical Radius Inequalities for Sums and Products of Operators

• 作者: Wasim Audeh
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Numeriacl Radius OPERATOR NORM OPERATOR Matrix INEQUALITY EQUALITY Offdiagonal Part
• 年，卷（期）: 2019,（3）
• 页码范围: 35-42
• 页数: 8页
• 分类号: O1

摘要

A numerical radius inequality due to Shebrawi and Albadawi says that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then for all r≥1. We give sharper numerical radius inequality which states that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then ?where . Moreover, we give many numerical radius inequalities which are sharper than related inequalities proved recently, and several applications are given.