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Conditional expectations and interpolation of linear operators on ordered ideals between $L^1(0,1)$ and $L^\infty(0,1)$ (1803.09796v1)

Published 26 Mar 2018 in math.FA

Abstract: The monograph contains the detailed exposition of the results obtained by the author during the last several years. In particular it contains an improvement of the well known Calderon - Ryff interpolation theorem and description of "verifying" operators of conditional mathematical expectations {if such an operator leaves an order ideal in $L1% invariant, then the ideal is an interpolation space}.

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