MARC Record from marc_columbia

LEADER: 03014mam a22003734a 4500
001 3044552
005 20221019204201.0
008 010321t20012001mau b 001 0 eng
010 $a 2001025873
020 $a0817638903 (alk. paper)
020 $a3764338903 (alk. paper)
035 $a(OCoLC)ocm46616002
035 $9ATK8180CU
035 $a3044552
040 $aDLC$cDLC$dC#P$dOHX$dNNC$dOrLoB-B
042 $apcc
050 00 $aQA326$b.A43 2001
072 7 $aQA$2lcco
082 00 $a512/.55$221
100 1 $aAlfsen, Erik M.$q(Erik Magnus),$d1930-$0http://id.loc.gov/authorities/names/n2001006760
245 10 $aState spaces of operator algebras :$bbasic theory, orientations, and C*-products /$cErik M. Alfsen, Frederic W. Shultz.
260 $aBoston :$bBirkhäuser,$c[2001], ©2001.
300 $axii, 350 pages ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMathematics: Theory & applications
504 $aIncludes bibliographical references (p. [341]-344) and index.
505 00 $gCh. 1.$tIntroduction.$tBasic notions from convexity and ordered vector spaces.$tOrder unit and base norm spaces.$tSelected topics in functional analysis.$tSpectral theory for monotone complete C[subscript R](X).$tElementary dimension theory in lattices.$tOrdered algebras.$tAlgebras with involution.$tOrder derivations --$gCh. 2.$tElementary Theory of C*-algebras and von Neumann Algebras.$tBasics on C*-algebras.$tRepresentations of C*-algebras.$tPreliminaries on B(H).$tBasics on von Neumann algebras --$gCh. 3.$tIdeals, Faces and Compressions.$tProjections, ideals, and faces for von Neumann algebras.$tProjections, ideals and faces for C*-algebras.$tInvariant subspaces.$tCompressions of von Neumann algebras --$gCh. 4.$tThe Normal State Space of B(H).$tFacial Structure.$tThe concepts of angle and geodesic metric.$t*-isomorphisms and *-anti-isomorphisms.$tOrientation of balls and multiplication in M[subscript 2](C) --$gCh. 5.$tStates, Representations, and Orientations of C*-algebras.
505 80 $tState space geometry and representations.$tThe spectrum and primitive ideal space.$tCompletely positive maps.$tOrientations of state spaces.$tOrientations and C* structures.$tOrientations and non-unital C*-algebras --$gCh. 6.$tSymmetries and Rotations in von Neumann Algebras.$tElements of structure theory.$tSymmetries and reflections.$tRotational Derivations --$gCh. 7.$tOrientations and von Neumann Algebras.$tBalanced symmetries and associative products.$tCartesian triples and 3-frames.$tOrientation of normal state spaces.$tFrom orientations to associative products.
650 0 $aOperator algebras.$0http://id.loc.gov/authorities/subjects/sh85095022
650 0 $aState-space methods.$0http://id.loc.gov/authorities/subjects/sh85127512
700 1 $aShultz, Frederic W.,$d1945-$0http://id.loc.gov/authorities/names/n85047929
830 0 $aMathematics (Boston, Mass.)$0http://id.loc.gov/authorities/names/n91037380
852 00 $bmat$hQA326$i.A43 2001