ENGLISH

Strong Limit Theorems in Noncommutative L2-Spaces

By Ryszard Jajte (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
3540542140, 9783540542148, 0387542140
DOI
10.1007/BFb0098424
LCC
QA3 .L28 no.1477,QA326 .L28 no.1477
Open Library ID
OL1544844M
Language
english
Format
DJVU
Filesize
532 kB (545064 bytes)
Series
Lecture Notes in Mathematics 1477
Edition
1
Pages
113\126
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
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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