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Operators whose ranges are contained in the null space of conditional expectations

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  • M. R. Jabbarzadeh
  • M. H. Sharifi

Abstract

The goal of this article is to study the algebra Dφ of a conditional type operators on L2(Σ) such that each of members of Dφ has its range contained in the kernel of a conditional expectation E. We present characterizations of this algebra in terms of (φ0)0‐type sub‐sigma algebras of Σ.

Suggested Citation

  • M. R. Jabbarzadeh & M. H. Sharifi, 2019. "Operators whose ranges are contained in the null space of conditional expectations," Mathematische Nachrichten, Wiley Blackwell, vol. 292(11), pages 2427-2440, November.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:11:p:2427-2440
    DOI: 10.1002/mana.201800066
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