Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces - Springerbriefs in Mathematics - Silvestru Sever Dragomir - Grāmatas - Springer International Publishing AG - 9783319014470 - 2013. gada 23. septembris
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Silvestru Sever Dragomir
Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces - Springerbriefs in Mathematics 2013 edition

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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.

120 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2013. gada 23. septembris
ISBN13 9783319014470
Izdevēji Springer International Publishing AG
Lapas 120
Izmēri 156 × 234 × 7 mm   ·   213 g
Valoda Vācu  

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