C*-Algebras and W*-Algebras | Shoichiro Sakai | Taschenbuch | Classics in Mathematics | Paperback | xii | Englisch | 1997 | Springer Berlin | EAN 9783540636335 - Taschenbuch
1997, ISBN: 9783540636335
[ED: Taschenbuch], [PU: Springer Berlin], From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental resu… Mehr…
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C*-Algebras and W*-Algebras / Shoichiro Sakai / Taschenbuch / Classics in Mathematics / Paperback / xii / Englisch / 1997 / Springer Berlin / EAN 9783540636335 - Taschenbuch
1997, ISBN: 9783540636335
[ED: Taschenbuch], [PU: Springer Berlin], From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental resu… Mehr…
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1997, ISBN: 9783540636335
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C*-Algebras and W*-Algebras | Shoichiro Sakai | Taschenbuch | Classics in Mathematics | Paperback | xii | Englisch | 1997 | Springer Berlin | EAN 9783540636335 - Taschenbuch
1997, ISBN: 9783540636335
[ED: Taschenbuch], [PU: Springer Berlin], From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental resu… Mehr…
Sakai, Shoichiro:
C*-Algebras and W*-Algebras / Shoichiro Sakai / Taschenbuch / Classics in Mathematics / Paperback / xii / Englisch / 1997 / Springer Berlin / EAN 9783540636335 - Taschenbuch1997, ISBN: 9783540636335
[ED: Taschenbuch], [PU: Springer Berlin], From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental resu… Mehr…
1997
ISBN: 9783540636335
Taschenbuch
Buch, Softcover, 1998, From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject,… Mehr…
ISBN: 9783540636335
From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable refe… Mehr…
1997, ISBN: 9783540636335
Springer, 1997. 271 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer i… Mehr…
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Detailangaben zum Buch - C*-Algebras and W*-Algebras
EAN (ISBN-13): 9783540636335
ISBN (ISBN-10): 3540636331
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1997
Herausgeber: Springer Berlin
Buch in der Datenbank seit 2007-05-04T10:31:19+02:00 (Zurich)
Detailseite zuletzt geändert am 2024-04-21T20:42:34+02:00 (Zurich)
ISBN/EAN: 9783540636335
ISBN - alternative Schreibweisen:
3-540-63633-1, 978-3-540-63633-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: sakai shoichiro, shoichi, aubin, von neumann, dixmier
Titel des Buches: berlin tokyo, japan, near algebras, classics mathematics
Daten vom Verlag:
Autor/in: Shoichiro Sakai
Titel: Classics in Mathematics; C*-Algebras and W*-Algebras
Verlag: Springer; Springer Berlin
259 Seiten
Erscheinungsjahr: 1997-12-11
Berlin; Heidelberg; DE
Sprache: Englisch
58,84 € (DE)
60,49 € (AT)
65,00 CHF (CH)
Available
XII, 259 p.
BC; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Hilbert space; algebra; operator algebras; operator rings; von neumann algebras; Operator Theory; Functional Analysis; Theoretical, Mathematical and Computational Physics; Mathematische Physik; BB
1. General Theory.- 1.1. Definitions of C*-Algebras and W*-Algebras.- 1.2. Commutative C*-Algebras.- 1.3. Stonean Spaces.- 1.4. Positive Elements of a C*-Algebra.- 1.5. Positive Linear Functionals on a C*-Algebra.- 1.6. Extreme Points in the Unit Sphere of a C*-Algebra.- 1.7. The Weak Topology on a W*-Algebra.- 1.8. Various Topologies on a W*-Algebra.- 1.9. Kaplansky’s Density Theorem.- 1.10. Ideals in a W*-Algebra.- 1.11. Spectral Resolution of Self-Adjoint Elements in a W*-Algebra.- 1.12. The Polar Decomposition of Elements of a W*-Algebra.- 1.13. Linear Functionals on a W*-Algebra.- 1.14. Polar Decomposition of Linear Functionals on a W*-Algebra.- 1.15. Concrete C*-Algebras and W*-Algebras.- 1.16. The Representation Theorems for C*-Algebras and W*- Algebras.- 1.17. The Second Dual of a C*-Algebra.- 1.18. Commutative W*-Algebras.- 1.19. The C*-Algebra C(?) of all Compact Linear Operators on a Hilbert Space ?.- 1.20. The Commutation Theorem of von Neumann.- 1.21. *-Representations of C*-Algebras, 1.- 1.22. Tensor Products of C*-Algebras and W*-Algebras.- 1.23. The Inductive Limit and Infinite Tensor Product of C*- Algebras.- 1.24. Radon-Nikodym Theorems in W*-Algebras.- 2. Classification of W*-Algebras.- 2.1. Equivalence of Projections and the Comparability Theorem.- 2.2. Classification of W*-Algebras.- 2.3. Type I W*-Algebras.- 2.4. Finite W*-Algebras.- 2.5. Traces and Criterions of Types.- 2.6. Types of Tensor Products of W*-Algebras.- 2.7. *-Representations of C*-Algebras and W*-Algebras, 2.- 2.8. The Commutation Theorem of Tensor Products.- 2.9. Spatial Isomorphisms of W*-Algebras.- 3. Decomposition Theory.- 3.1. Decompositions of States (Non-Separable Cases).- 3.2. Reduction Theory (Space-Free).- 3.3. Direct Integral of Hilbert Spaces.- 3.4. Decomposition ofStates (Separable Cases).- 3.5. Central Decomposition of States (Separable Cases).- 4. Special Topics.- 4.1. Derivations and Automorphisms of C*-Algebras and W*-Algebras.- 4.2. Examples of Factors, 1 (General Construction).- 4.3. Examples of Factors, 2 (Uncountable Families of Types II 1, II? and III.- 4.4. Examples of Factors, 3 (Other Results and Problems).- 4.5. Global W*-Algebras (Non-Factors).- 4.6. Type I C*-Algebras.- 4.7. On a Stone-Weierstrass Theorem for C*-Algebras.- List of Symbols.Every chapter of the book contains illuminating remarks and open problems and references for other details or topics not discussed. The style of the book is fluent. It represents an important contribution to the literature on C*-algebras and through results, problems, a stimulating book for researchers." Revue Romaine de Mathématiques
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