Sums of Order Bounded Disjointness Preserving Linear Operators

Сибирский математический журнал

A. G. Kusraev¹  Z. A. Kusraeva² 

[1] North Ossetian State University named after K. L. Khetagurov;Regional Mathematical Center of Southern Federal University

关键词: vector lattice;    purely n-disjoint operator;    Boolean permutation;    factorization;   

DOI  :  10.1134/S0037446619010130

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Necessary and sufficient conditions are found under which the sum of N order bounded disjointness preserving operators is n-disjoint with n and N naturals. It is shown that the decomposition of an order bounded n-disjoint operator into a sum of disjointness preserving operators is unique up to “Boolean permutation,” the meaning of which is clarified in the course of the presentation.

【 授权许可】

CC BY