Narrow orthogonally additive operators in lattice-normed spaces

被引：0

作者：

M. A. Pliev

X. Fang

机构：

[1] Southern Mathematical Institute,

[2] Peoples’ Friendship University of Russia,undefined

[3] Tongji University,undefined

来源：

Siberian Mathematical Journal | 2017年 / 58卷

关键词：

vector lattice; Banach lattice; lattice-normed space; orthogonally additive operator; dominated Urysohn operator; narrow operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a new class of narrow orthogonally additive operators in lattice-normed spaces and prove the narrowness of every C-compact norm-laterally-continuous orthogonally additive operator from a Banach–Kantorovich space V into a Banach space Y. Furthermore, every dominated Urysohn operator from V into a Banach sequence lattice Y is also narrow. We establish that the order narrowness of a dominated Urysohn operator from a Banach–Kantorovich space V into a Banach space with mixed norm W implies the order narrowness of the least dominant of the operator.

引用

页码：134 / 141

页数：7

共 18 条

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[10] Ben Amor M. A.(undefined)undefined undefined undefined undefined-undefined

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