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  • Book
  • © 1991

Strong Limit Theorems in Noncommutative L2-Spaces

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1477)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
  2. Asymptotic formulae

    • Ryszard Jajte
    Pages 37-51
  3. Convergence of iterates of contractions

    • Ryszard Jajte
    Pages 52-63
  4. Miscellaneous results

    • Ryszard Jajte
    Pages 90-99
  5. Back Matter

    Pages 100-113

About this book

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.

Keywords

  • Ergodic theorems
  • Limit theorems
  • Martingale
  • Probability theory
  • Von Neumann algebra
  • functional analysis

Bibliographic Information

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions