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 techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability.
The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics.
| ISBN: | 9783540542148 |
| Publication date: | 26th July 1991 |
| Author: | Ryszard Jajte |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 113 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Calculus and mathematical analysis Stochastics Mathematical physics Probability and statistics |
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 techniques in von Neumann algebras.
Strong Limit Theorems in Noncommutative L2-Spaces features in the following genres: Calculus and mathematical analysis, Stochastics, Mathematical physics, Probability and statistics
Paperback. Not Available.
Strong Limit Theorems in Noncommutative L2-Spaces was written by Ryszard Jajte and published by Springer an imprint of Springer Berlin Heidelberg
Strong Limit Theorems in Noncommutative L2-Spaces has 113 pages
Yes it is part of Lecture Notes in Mathematics series