Domination problem for AM-compact abstract Uryson operators

被引：17

作者：

Orlov, Vladimir ^{[1
]}

Pliev, Marat ^{[2
,3
]}

Rode, Dmitry ^{[1
]}

机构：

[1] Voronezh State Univ, Univ Skaya Pl, Voronezh 394006, Russia

[2] Russian Acad Sci, Southern Math Inst, Str Markusa 22, Vladikavkaz 362027, Russia

[3] Peoples Friendship Univ Russia, M Maklaya Str 6, Moscow 117198, Russia

来源：

ARCHIV DER MATHEMATIK | 2016年 / 107卷 / 05期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

Orthogonally additive operators; Abstract Uryson operators; AM-compact operators; Fragments; Vector lattices; Domination problem;

D O I：

10.1007/s00013-016-0937-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Boolean algebra of fragments of a positive abstract Uryson operator recently was described in M. Pliev (Positivity, doi:10.1007/s11117-016-0401-9, 2016). Using this result, we prove a theorem of domination for AM-compact positive abstract Uryson operators from a Dedekind complete vector lattice E to a Banach lattice F with an order continuous norm.

引用

页码：543 / 552

页数：10

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