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Lp-Continuity of Conditional Expectations

โœ Scribed by Alberto Alonso; Fernando Brambila-Paz

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
213 KB
Volume
221
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

A necessary and sufficient condition on a sequence n nโˆˆN of ฯƒ-subalgebras that assures L p -convergence of the conditional expectations is given. This result generalizes the L p -martingales, the Fetter and the Boylan (equiconvergence) theorems.

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