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

M. R. Jabbarzadeh and M. H. Sharifi

Mathematische Nachrichten, 2019, vol. 292, issue 11, 2427-2440

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.

Date: 2019
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https://doi.org/10.1002/mana.201800066

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:11:p:2427-2440

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