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Catalogue Information
Field name	Details
Dewey Class	515
Title	Strong Limit Theorems in Noncommutative L2-Spaces ([EBook] /) / by Ryszard Jajte.
Author	Jajte, Ryszard
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1991.
Physical Details	X, 113 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1477
ISBN	9783540475125
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0098424
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Physics . Probabilities . Probability theory and stochastic processes . Theoretical, Mathematical and Computational Physics . Authors: Jajte, Ryszard . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Strong Limit Theorems in Noncommutative L2-Spaces

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