Numerical radius inequalities and its applications in estimation of zeros of polynomials

被引：55

作者：

Bhunia, Pintu ^{[1
]}

Bag, Santanu ^{[2
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

[2] Vivekananda Coll Women, Dept Math, Kolkata 700008, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2019年 / 573卷

关键词：

Numerical radius; Hilbert space; Bounded linear operator; Zeros of polynomial; LOWER BOUNDS;

D O I：

10.1016/j.laa.2019.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds. We also present an upper bound for the spectral radius of sum of product of n pairs of operators. As an application of the results obtained, we provide a better estimation for the zeros of a given polynomial. (C) 2019 Elsevier Inc. All rights reserved.

引用

收藏

页码：166 / 177

页数：12

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