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An example of pointwise non-convergence of iterated conditional expectation operators

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Publication:1916893
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DOI10.1007/BF02762703zbMath0851.60033MaRDI QIDQ1916893

Jonathan L. King, Mustafa A. Akcoglu

Publication date: 8 December 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

conditional expectationspointwise non-convergence of iterated conditional expectation operators


Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Limit theorems in probability theory (60F99)


Related Items

Exploring ramification of the equation \(E(Y|X)=X\) ⋮ Products of conditional expectation operators: convergence and divergence



Cites Work

  • Unnamed Item
  • Representation of positive operators and alternating sequences
  • Iterates of Conditional Expectation Operators
  • ON THE MAXIMAL ERGODIC THEOREM
  • Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
  • An “alternierende Verfahren” for general positive operators
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