Generalized numerical radius inequalities of operators in Hilbert spaces

被引：0
作者：
Kais Feki
机构：
[1] University of Monastir,Faculty of Economic Sciences and Management of Mahdia
[2] University of Sfax,Laboratory Physics
[3] Faculty of Sciences of Sfax,Mathematics and Applications (LR/13/ES
来源：
Advances in Operator Theory | 2021年 / 6卷
关键词：
Positive operator; Semi-inner product; Numerical radius; 46C05; 47A05; 47B65;
D O I：
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学科分类号：
摘要：
This paper is concerned with linear operators on a complex Hilbert space H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}$$\end{document}, which are bounded with respect to the seminorm induced by a positive operator A on H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}$$\end{document}. In particular, several inequalities involving the A-numerical radius of operators are established.
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