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

被引：4

作者：

Jabbarzadeh, M. R. ^{[1
]}

Sharifi, M. H. ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz 5166615648, Iran

来源：

MATHEMATISCHE NACHRICHTEN | 2019年 / 292卷 / 11期

关键词：

composition operators; conditional expectation; Lie-Banach algebra; multipliers; LAMBERT MULTIPLIERS; LOCALIZING SETS; ALGEBRAS;

D O I：

10.1002/mana.201800066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：2427 / 2440

页数：14

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