Strong limit theorems in noncommutative L[2]-spaces

Author(s)

• Jajte, Ryszard

Bibliographic Information

Strong limit theorems in noncommutative L[2]-spaces

Ryszard Jajte

（Lecture notes in mathematics, 1477）

Springer-Verlag, c1991

• : gw
• : us

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.

by "Nielsen BookData"

Details

• NCID: BA12724872
• ISBN:
  • 3540542140
  • 0387542140
• LCCN: 91023966
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: x, 113 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA326
  • DC20 : 510 s
  • DC20 : 512/.55
  • NDC8 : 410.8
  • NDC8 : 411.72
• Subject Headings:
  • LCSH : Von Neumann algebras
  • LCSH : Limit theorems (Probability theory)
  • LCSH : Ergodic theory
• Parent Bibliography ID:
  • BA00146586