ENGLISH

Strong Limit Theorems in Noncommutative L2-Spaces

By Ryszard Jajte (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
978-3-540-54214-8, 978-3-540-47512-5
DOI
10.1007/BFb0098424
Language
english
Format
PDF
Filesize
1 MB (1433434 bytes)
Series
Lecture Notes in Mathematics 1477
Edition
1
Pages
113\121
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis;Probability Theory and Stochastic Process

Description

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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