Matches in Library of Congress for { <http://lccn.loc.gov/2001025873> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- 2001025873 contributor B8927577.
- 2001025873 contributor B8927578.
- 2001025873 created "c2001.".
- 2001025873 date "2001".
- 2001025873 date "c2001.".
- 2001025873 dateCopyrighted "c2001.".
- 2001025873 description "Includes bibliographical references (p. [341]-344) and index.".
- 2001025873 description "Machine 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.".
- 2001025873 extent "xii, 350 p. ;".
- 2001025873 identifier "0817638903 (alk. paper)".
- 2001025873 identifier "3764338903 (alk. paper)".
- 2001025873 identifier 2001025873.html.
- 2001025873 isPartOf "Mathematics (Boston, Mass.)".
- 2001025873 isPartOf "Mathematics : theory & applications".
- 2001025873 issued "2001".
- 2001025873 issued "c2001.".
- 2001025873 language "eng".
- 2001025873 publisher "Boston : Birkhauser,".
- 2001025873 subject "512/.55 21".
- 2001025873 subject "Operator algebras.".
- 2001025873 subject "QA326 .A43 2001".
- 2001025873 subject "State-space methods.".
- 2001025873 tableOfContents "Machine 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.".
- 2001025873 title "State spaces of operator algebras : basic theory, orientations and C*-products / Erik M. Alfsen, Frederic W. Shultz.".
- 2001025873 type "text".