Strong Limit Theorems in Noncommutative L2-Spaces

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 tech...

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Bibliografiske detaljer
Hovedforfatter: Jajte, Ryszard, 1933-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1477
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Edition sous un autre format:• Strong limit theorems in noncommutative L2-spaces, Ryszard Jajte, 1991, Berlin, Springer, 1 volume (X-113 pages), Lecture notes in mathematics, 3-540-54214-0
• Strong Limit Theorems in Noncommutative L2-Spaces, Texte imprimé, 9783662192498
Beskrivelse
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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Archives Springer e-books (Licence nationale)
ISBN:9783540475125 (PDF)
ISSN:1617-9692
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