Strong limit theorems in noncommutative L[2]-spaces
Author(s)
Bibliographic Information
Strong limit theorems in noncommutative L[2]-spaces
（Lecture notes in mathematics, 1477）
Springer-Verlag, c1991
- : gw
- : us
Available at / 85 libraries
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Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009851988
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||14779109015S
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Kobe University General Library / Library for Intercultural Studies
: New York410-8-L//1477S061000110240*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/V892070203233
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Note
Includes bibliographical references (p. [103]-111) and index
Description and Table of Contents
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.
Table of Contents
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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