000			03259nam a22004815i 4500
001			978-3-642-34369-8
003			DE-He213
005			20140220082857.0
007			cr nn 008mamaa
008			121213s2013 gw | s |||| 0|eng d
020			_a9783642343698 _9978-3-642-34369-8
024	7		_a10.1007/978-3-642-34369-8 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aStørmer, Erling. _eauthor.
245	1	0	_aPositive Linear Maps of Operator Algebras _h[electronic resource] / _cby Erling Størmer.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013.
300			_aVIII, 134 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aIntroduction -- 1 Generalities for positive maps -- 2 Jordan algebras and projection maps -- 3 Extremal positive maps -- 4 Choi matrices and dual functionals -- 5 Mapping cones -- 6 Dual cones -- 7 States and positive maps -- 8 Norms of positive maps -- Appendix: A.1 Topologies on B(H) -- A.2 Tensor products -- A.3 An extension theorem -- Bibliography -- Index .
520			_aThis volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps.  The text examines the maps’ positivity properties, as well as their associated linear functionals together with their density operators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of matters relating to positive linear maps, of which a large proportion is relevant and applicable to today’s quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a whole appeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.
650		0	_aMathematics.
650		0	_aMatrix theory.
650		0	_aFunctional analysis.
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
650	2	4	_aMathematical Methods in Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642343681
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-34369-8
912			_aZDB-2-SMA
999			_c97507 _d97507