Hidden Bibliographic Details
ISBN: | 9783540475125 3540475125 9780387542140 0387542140 9783540542148 3540542140
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Notes: | Includes bibliographical references (pages 103-111) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
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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.
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Other form: | Print version: Jajte, Ryszard, 1933- Strong limit theorems in noncommutative L2-spaces. Berlin ; New York : Springer-Verlag, ©1991 3540542140
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