LEBESGUE DECOMPOSITION AND BARTLE-DUNFORD-SCHWARTZ THEOREM IN PSEUDO-D-LATTICES

作     者：Anna AVALLONE Paolo VITOLO 

作者机构：Dipartimento di Matematica e Informatica Università della BasilicataViale dell'Ateneo Lucano 10 85100 Potenza Italy 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2013年第33卷第3期

页      面：653-677页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Pseudo-effect algebra pseudo-D-lattice D-uniformity lattice uniformity mod-ular measure 

摘      要：Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-lattice associated to L. As a consequence, we obtain decomposition theorems such as Lebesgue and Hewitt-Yosida decompositions--and control theorems such as Bartle-Dunford Schwartz and Rybakov theorems--for modular measures on L.