Strong limit theorems in noncommutative L2-spaces /

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Bibliographic Details
Author / Creator:Jajte, Ryszard, 1933-
Imprint:Berlin ; New York : Springer-Verlag, ©1991.
Description:1 online resource (x, 113 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1477
Lecture notes in mathematics (Springer-Verlag) ; 1477.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071354
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ISBN:9783540475125
3540475125
9780387542140
0387542140
9783540542148
3540542140
Notes:Includes bibliographical references (pages 103-111) and index.
Restrictions unspecified
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Print version record.
Summary: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.
Other form:Print version: Jajte, Ryszard, 1933- Strong limit theorems in noncommutative L2-spaces. Berlin ; New York : Springer-Verlag, ©1991 3540542140