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On Young and Heinz inequalities for τ-measurable operators

✍ Scribed by Shao, Jingjing

Book ID
121451777
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
214 KB
Volume
414
Category
Article
ISSN
0022-247X

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## Abstract For 1 < __p__ < ∞, the almost surely finiteness of $ E \left(v ^{- {p^{\prime} \over p}} \vert {\cal F}\_{1} \right) $ is a necessary and sufficient condition in order to have almost surely convergence of the sequences {__E__(__f__|ℱ~__n__~)} with __f__ ∈ __L__^__p__^(__v dP__). This co