Tomita-Takesaki Theory in Algebras of Unbounded Operators
These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introdu...
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| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1699 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Tomita-Takesaki theory in algebras of unbounded operators, Atsushi Inoue, Berlin, Springer, 1998, 1 vol. (VIII-241 p.), Lecture notes in mathematics, 3-540-65194-2 • Tomita-Takesaki Theory in Algebras of Unbounded Operators, Texte imprimé, 9783662210192 |
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| 245 | 1 | 0 | |a Tomita-Takesaki Theory in Algebras of Unbounded Operators |c Atsushi Inoue. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1699 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Fundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Von Neumann, Algèbres de | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Algèbres d'opérateurs | ||
| 776 | 0 | |0 049026941 |t Tomita-Takesaki theory in algebras of unbounded operators |f Atsushi Inoue |c Berlin |n Springer |d 1998 |p 1 vol. (VIII-241 p.) |s Lecture notes in mathematics |z 3-540-65194-2 | |
| 776 | 0 | |t Tomita-Takesaki Theory in Algebras of Unbounded Operators |b Texte imprimé |z 9783662210192 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-D6QK35GS-M |z Accès sur la plateforme Istex | |
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