Strong Limit Theorems in Noncommutative L2-Spaces (Lecture Notes in Mathematics, 1477)

Jajte, Ryszard

ISBN 10: 3540542140 / ISBN 13: 9783540542148

Published by Springer, 1991

About this Item

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Bibliographic Details

• Title: Strong Limit Theorems in Noncommutative L2-Spaces (Lecture Notes in Mathematics, 1477)
• Publisher: Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 3540542140
• ISBN 13: 9783540542148
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.