000 03217nam a22004815i 4500
001 978-3-319-01448-7
003 DE-He213
005 20140220082840.0
007 cr nn 008mamaa
008 130913s2013 gw | s |||| 0|eng d
020 _a9783319014487
_9978-3-319-01448-7
024 7 _a10.1007/978-3-319-01448-7
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aDragomir, Silvestru Sever.
_eauthor.
245 1 0 _aInequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
_h[electronic resource] /
_cby Silvestru Sever Dragomir.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aX, 120 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Mathematics,
_x2191-8198
505 0 _a1. Introduction -- 2. Inequalities for One Operator -- 3. Inequalities for Two Operators .
520 _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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aOperator theory.
650 0 _aDifferential Equations.
650 1 4 _aMathematics.
650 2 4 _aOperator Theory.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319014470
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-01448-7
912 _aZDB-2-SMA
999 _c96542
_d96542