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An integral representation of disjointly additive order preserving operators inL1

 

作者: Ulrich Krengel,   Michael Lin,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1988）
卷期: Volume 6, issue 3  

页码: 289-304

 

ISSN:0736-2994

 

年代: 1988

 

DOI:10.1080/07362998808809150

 

出版商: Marcel Dekker, Inc.

 

关键词: Disjointly Additive Operator;Integral Representation;Random Mass Transport;Nonlinear Markov Type Operator

 

数据来源: Taylor

 

摘要:

We give an integral representation of disjointly additive order preserving nonexpansive operators inL1, using a family {Pt,t∈R} of substochastic kernels. We also characterize the case when the kernels correspond to positive linear operatorsTtinL1of norm ≤ 1. Forwe then obtainwhereXtfis the indicator function of {f > t}

 

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