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Strong Limit Theorems in Noncommutative L2-Spaces

Strong Limit Theorems in Noncommutative L2-Spaces

Paperback

Series: Lecture Notes in Mathematics, Book 1477

AlgebraGeneral MathematicsProbability & Statistics

ISBN10: 3540542140
ISBN13: 9783540542148
Publisher: Springer Nature
Published: Jul 26 1991
Pages: 113
Weight: 0.43
Height: 0.28 Width: 6.14 Depth: 9.21
Language: English
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.

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