Strong Limit Theorems in Noncommutative L2-Spaces
The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new tech...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1477 |
| Matèries: | |
| Accés en línia: | 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: | • Strong limit theorems in noncommutative L2-spaces, Ryszard Jajte, 1991, Berlin, Springer, 1 volume (X-113 pages), Lecture notes in mathematics, 3-540-54214-0 • Strong Limit Theorems in Noncommutative L2-Spaces, Texte imprimé, 9783662192498 |
Taula de continguts:
- Almost sure convergence in noncommutative L2-spaces
- Individual ergodic theorems in L2 over a von neumann algebra
- Asymptotic formulae
- Convergence of iterates of contractions
- Convergence of orthogonal series and strong laws of large numbers
- Convergence of conditional expectations and martingales
- Miscellaneous results.