Tomita's Theory of Modular Hilbert Algebras and its Applications
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
128 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Tomita's theory of modular Hilbert algebras and its applications, M. Takesaki,..., Berlin [etc.], Springer, 1970, 1 vol. (123 p.), Lecture notes in mathematics, 0-387-04917-7 • Tomita's Theory of Modular Hilbert Algebras and its Applications, Texte imprimé, 9783662178614 |
Sommario:
- Preliminaries
- Modular Hilbert algebras
- Generalized Hilbert algebras
- The commutation theorem for modular Hilbert algebras
- Self-adjoint subalgebras of generalized Hilbert algebras
- The spectral algebra
- The modular operator ?
- The resolvent of the modular operator ?
- The one-parameter automorphisms defined by the modular operator ?
- Formulation of the modular Hilbert algebra
- Tensor product and direct sum of modular Hilbert algebras
- The standard representation of von Neumann algebras
- The modular automorphism group and the Kubo-Martin-Schwinger boundary condition
- Semi-finiteness and the modular automorphism group.