MARC Record from Library of Congress

LEADER: 02945cam a22003014a 4500
001 2001025873
003 DLC
005 20050308181146.0
008 010321s2001 mau b 001 0 eng
010 $a 2001025873
020 $a0817638903 (alk. paper)
020 $a3764338903 (alk. paper)
040 $aDLC$cDLC$dDLC
042 $apcc
050 00 $aQA326$b.A43 2001
082 00 $a512/.55$221
100 1 $aAlfsen, Erik M.$q(Erik Magnus),$d1930-
245 00 $aState spaces of operator algebras :$bbasic theory, orientations and C*-products /$cErik M. Alfsen, Frederic W. Shultz.
260 $aBoston :$bBirkhauser,$cc2001.
300 $axii, 350 p. ;$c24 cm.
490 1 $aMathematics : theory & applications
504 $aIncludes bibliographical references (p. [341]-344) and index.
505 8 $aMachine generated contents note: Chapter 1: Introduction 1 -- Basic notions from convexity and ordered vector spaces 1 -- Order unit and base norm spaces 9 -- Selected topics in functional analysis 17 -- Spectral theory for monotone complete CR(X)26 -- Elementary dimension theory in lattices 30 -- Ordered algebras 33 -- Algebras with involution 42 -- O rder derivations 55 -- Notes 62 -- Chapter 2: Elementary Theory of C*-algebras and -- von Neumann Algebras63 -- Basics on C*-algebras 63 -- Representations of C*-algebras 78 -- Preliminaries on B(H) 85 -- Basics on von Neumann algebras 101 -- M iscellaneous 121 -- N otes129 -- Chapter 3: Ideals, Faces and Compressions 130 -- Projections, ideals, and faces for von Neumann algebras130 -- Projections, ideals and faces for C*-algebras151 -- Invariant subspaces 161 -- Compressions of von Neumann algebras 168 -- N otes174 -- Chapter 4: The Normal State Space of B(H)176 -- Facial Structure 176 -- The concepts of angle and geodesic metric183 -- *-isomorphisms and *-anti-isomorphisms 189 -- Orientation of balls and multiplication in M2(C)193 -- Notes198 -- Chapter 5: States, Representations, and Orientations of -- C *-algebras199 -- State space geometry and representations 200 -- The spectrum and primitive ideal space 208 -- Completely positive maps 213 -- Orientations of state spaces 215 -- Orientations and C* structures 223 -- Orientations and non-unital C*-algebras 239 -- Notes 240 -- Chapter 6: Symmetries and Rotations in -- von Neumann Algebras241 -- Elements of structure theory241 -- Symmetries and reflections 249 -- Rotational Derivations 265 -- Notes279 -- Chapter 7: Orientations and von Neumann Algebras281 -- Balanced symmetries and associative products282 -- Cartesian triples and 3-frames 295 -- Orientation of normal state spaces314 -- From orientations to associative products 329 -- Notes 340 -- Bibliography 341 -- Index 345.
650 0 $aOperator algebras.
650 0 $aState-space methods.
700 1 $aShultz, Frederic W.,$d1945-
830 0 $aMathematics (Boston, Mass.)
856 41 $3Table of contents$uhttp://www.loc.gov/catdir/toc/fy02/2001025873.html