算子乘积和和的进一步半范数和数值半径不等式

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-07-14 DOI:10.1080/01630563.2023.2221897

C. Conde, Kais Feki, F. Kittaneh

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引用次数: 0

摘要

本文的目的是建立复希尔伯特空间上算子的乘积和的几个新的范数和数值半径不等式。所得到的一些不等式是对已知不等式的改进。此外，利用新技术证明了与和有关的若干新不等式，其中和分别表示作用于半希尔伯特空间的算子T的a数值半径和a算子半模。这里是每一个。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators

Abstract Our aim in this article is to establish several new norm and numerical radius inequalities for products and sums of operators acting on a complex Hilbert space . Some of the obtained inequalities improve well known ones. In addition, by using new techniques, we prove certain new inequalities related to and , where and denote the A-numerical radius and the A-operator seminorm of an operator T acting on the semi-Hilbert space respectively. Here for every .

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.