Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces / by Silvestru Sever Dragomir
(SpringerBriefs in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Cham : Springer International Publishing : Imprint: Springer , 2013 |
| 本文言語 | 英語 |
| 大きさ | X, 120 p : online resource |
書誌詳細を非表示
| 内容注記 | 1. Introduction 2. Inequalities for One Operator 3. Inequalities for Two Operators |
|---|---|
| 一般注記 | Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory. A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned |
| 著者標目 | *Dragomir, Silvestru Sever author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Operator theory LCSH:Differential equations FREE:Mathematics FREE:Operator Theory FREE:Ordinary Differential Equations FREE:Analysis |
| 分 類 | DC23:515.724 |
| 巻冊次 | ISBN:9783319014487 
|
| ISBN | 9783319014487 |
| URL | http://dx.doi.org/10.1007/978-3-319-01448-7 |
目次／あらすじ