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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis State Spaces of Operator Algebras
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State Spaces of Operator Algebras
Erik M. Alfsen, Frederik W. Shultz (Gebundene Ausgabe, Englisch)
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Beschreibung
The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it… has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
27.04.2001
Sprache
Englisch
EAN
9780817638900
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Mathematics: Theory & Applications
Sonderedition
Nein
Autor
Erik M. Alfsen, Frederik W. Shultz
Seitenanzahl
350
Einbandart
Gebundene Ausgabe
Buch Untertitel
Basic Theory, Orientations, and C*-products
Schlagwörter
algebra, applications of mathematics, functional analysis, geometry, mathematical physics, operator algebras
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBF - Algebra
PBW - Angewandte Mathematik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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