Strong Limit Theorems in Noncommutative L2-Spaces: 1477 - Brossura

Jajte, Ryszard

 
9783540542148: Strong Limit Theorems in Noncommutative L2-Spaces: 1477

Sinossi

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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Contenuti

Almost sure convergence in noncommutative L2-spaces.- Individual ergodic theorems in L2 over a von neumann algebra.- Asymptotic formulae.- Convergence of iterates of contractions.- Convergence of orthogonal series and strong laws of large numbers.- Convergence of conditional expectations and martingales.- Miscellaneous results.

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Altre edizioni note dello stesso titolo

9780387542140: Strong Limit Theorems in Non-Commutative L2-Spaces

Edizione in evidenza

ISBN 10:  0387542140 ISBN 13:  9780387542140
Brossura