On order bounded disjointness preserving operators

被引：3

作者：

Kusraev, A. G. ^{[1
]}

Kutateladze, S. S. ^{[2
]}

机构：

[1] North Ossetian State Univ, Southern Math Inst, Vladikavkaz Sci Ctr, Russian Acad Sci, Vladikavkaz, Russia

[2] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2014年 / 55卷 / 05期

关键词：

Boolean valued analysis; vector lattice; disjointness preserving operator; lattice homomorphism; BILINEAR MAPS; PRODUCTS;

D O I：

10.1134/S0037446614050103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is aimed at demonstrating that some properties of order bounded operators in vector lattices are just Boolean valued interpretations of elementary properties of order bounded functionals. We present the general machinery and illustrate it with a few new results on order bounded disjointness preserving and n-disjoint operators.

引用

页码：915 / 928

页数：14

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