Strong Limit Theorems in Noncommutative L2-Spaces: 1477 (Lecture Notes in Mathematics) - Softcover

Jajte, Ryszard

 
9783540542148: Strong Limit Theorems in Noncommutative L2-Spaces: 1477 (Lecture Notes in Mathematics)

Inhaltsangabe

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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Reseña del editor

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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Weitere beliebte Ausgaben desselben Titels

9780387542140: Strong Limit Theorems in Non-Commutative L2-Spaces (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387542140 ISBN 13:  9780387542140
Softcover