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010   $a3-319-01448-X
024 7 $a10.1007/978-3-319-01448-7
035   $a(OCoLC)859398317
035   $a(MiFhGG)GVRL6WHP
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100   $a20130731d2013      uy             0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aInequalities for the numerical radius of linear operators in Hilbert spaces /$fSilvestru Sever Dragomir
205   $a1st ed. 2013.
210  1$aCham, Switzerland :$cSpringer,$d2013.
215   $a1 online resource (x, 120 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $a"ISSN: 2191-8198."
311   $a3-319-01447-1 
320   $aIncludes bibliographical references.
327   $a1. Introduction -- 2. Inequalities for One Operator -- 3. Inequalities for Two Operators .
330   $aAimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents  recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory. A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned.
410  0$aSpringerBriefs in mathematics.
606   $aLinear operators
606   $aHilbert space
615  0$aLinear operators.
615  0$aHilbert space.
676   $a515
700   $aDragomir$b Silvestru Sever$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781361
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910739432603321
996   $aInequalities for the numerical radius of linear operators in Hilbert spaces$93553827
997   $aUNINA