Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces is popular PDF and ePub book, written by Silvestru Sever Dragomir in 2013-09-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces can be Read Online from any device for your convenience.
Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces Book PDF Summary
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.
Detail Book of Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces PDF
- Author : Silvestru Sever Dragomir
- Release : 14 September 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783319014487
- Genre : Mathematics
- Total Page : 130 pages
- Language : English
- PDF File Size : 9,5 Mb
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