Convergence of Conditional Expectations in Banach Function Spaces

Masato Kikuchi

doi:10.1006/jmaa.1999.6352

Convergence of Conditional Expectations in Banach Function Spaces

Masato Kikuchi^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We give a necessary and sufficient condition that assures the convergence of conditional expectations in a Banach function space. This extends the result of A. Alonso and F. Brambila-Paz [J. Math. Anal. Appl.221(1998), 161-176]. We also consider the convergence of conditional expectations in a weightedL^p-spaces.

Original language	English
Pages (from-to)	193-207
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	234
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1999.6352
State	Published - 1999/06/01

Keywords

Banach function space
Conditional expectation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.1999.6352

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abstract = "We give a necessary and sufficient condition that assures the convergence of conditional expectations in a Banach function space. This extends the result of A. Alonso and F. Brambila-Paz [J. Math. Anal. Appl.221(1998), 161-176]. We also consider the convergence of conditional expectations in a weightedLp-spaces.",

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AB - We give a necessary and sufficient condition that assures the convergence of conditional expectations in a Banach function space. This extends the result of A. Alonso and F. Brambila-Paz [J. Math. Anal. Appl.221(1998), 161-176]. We also consider the convergence of conditional expectations in a weightedLp-spaces.

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KW - Conditional expectation

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JO - Journal of Mathematical Analysis and Applications

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Convergence of Conditional Expectations in Banach Function Spaces

Abstract

Keywords

ASJC Scopus subject areas

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