Strong limit theorems in noncommutative L2-spaces / Ryszard Jajte
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1477Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1991ISBN: 9783540475125.ISSN: 1617-9692.Sujet MSC : 46L51, Functional analysis - Selfadjoint operator algebras, Noncommutative measure and integration46L53, Functional analysis - Selfadjoint operator algebras, Noncommutative probability and statistics
46L54, Functional analysis - Selfadjoint operator algebras, Free probability and free operator algebras
60F15, Limit theorems in probability theory, Strong limit theorems
47A35, Operator theory - General theory of linear operators, Ergodic theory of linear operatorsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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contents: 1. Almost sure convergence in noncommutative L2 spaces; 2. Individual ergodic theorems in L2 over a von Neumann algebra; 3. Asymptotic formulae; 4. Convergence of iterates of contractions; 5. Convergence of orthogonal series and strong laws of large numbers; 6. Convergence of conditional expectations and martingales; 7. Miscellaneous results. It is interesting to note that the main tool is spectral theory, and not operator algebra techniques.
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