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Strong Limit Theorems In Noncommutative L2-Spaces by Ryszard Jajte

Strong Limit Theorems In Noncommutative L2-Spaces

by Ryszard Jajte
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Book cover type: Paperback
  • ISBN13: 9783540542148
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer V
  • Publication Date:
  • Pages: 128
  • Original Price: USD 31.95
  • Language: English
  • Edition: N/A
  • Item Weight: 500 grams
  • BISAC Subject(s): Mathematical Analysis

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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