| 书目名称 | Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces |
| 编辑 | Silvestru Sever Dragomir |
| 视频video | |
| 概述 | Centered on numerical radius inequalities for bounded linear operators on complex.Hilbert spaces for the case of one and two operators Classical inequalities due to Berger, Holbrook, Fong and Holbrook |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .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 studen |
| 出版日期 | Book 2013 |
| 关键词 | Euclidean operator radius; Grüss type inequalities; Linear operator theory; complex Hilbert spaces; nume |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-01448-7 |
| isbn_softcover | 978-3-319-01447-0 |
| isbn_ebook | 978-3-319-01448-7Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Silvestru Sever Dragomir 2013 |
发表于 2025-3-21 16:13:45
