A general differentiation theorem for superadditive processes

Ryotaro Sato

ArticleOriginal scientific text

Title

A general differentiation theorem for superadditive processes

Authors ¹

Affiliations

Department of Mathematics, Faculty of Science, Okayama University, Okayama, 700-8530 Japan

Abstract

Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T={

T_{t}

: t < 0} be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.

Keywords

ENG

differentiation theorem, superadditive process, absolutely continuous norm, local ergodic theorem, semigroup of positive linear operators, Banach lattice of functions

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Title

A general differentiation theorem for superadditive processes

Affiliations

Abstract

Keywords

Bibliography