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An example of pointwise non-convergence of iterated conditional expectation operators

✍ Scribed by Mustafa Akcoglu; Jonathan L. King

Book ID
112886354
Publisher
The Hebrew University Magnes Press
Year
1996
Tongue
English
Weight
340 KB
Volume
94
Category
Article
ISSN
0021-2172

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## Abstract Let __E__ be a real reflexive Banach space having a weakly continuous duality mapping __J__~__Ο†__~ with a gauge function __Ο†__, and let __K__ be a nonempty closed convex subset of __E__. Suppose that __T__ is a non‐expansive mapping from __K__ into itself such that __F__ (__T__) β‰  βˆ…οΈ.