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Banach格上的b-几乎极限算子

李娇娇 陈金喜 陈滋利

云南民族大学学报(自然科学版)2017,Vol.26Issue(6):471-474,4.
云南民族大学学报(自然科学版)2017,Vol.26Issue(6):471-474,4.DOI:10.3969/j.issn.1672-8513.2017.06.008

Banach格上的b-几乎极限算子

b-almost limited operators on Banach lattices

李娇娇 1陈金喜 1陈滋利1

作者信息

  • 1. 西南交通大学 数学学院,四川 成都610031
  • 折叠

摘要

Abstract

For the further study of the property of operators on Banach lattices, this paper gives the MAC of b-al-most limited operators in light of the definition of b-order bounded set and almost limited set, and studies the rela-tionship between b-almost limited operator and b-AM-compact operator ( almost limited operator, order-al-most limited operator ) . By means of the dominated property of almost limited operators, it has proved that the b-almost limited operator has the dominated property.

关键词

b-几乎极限算子/b-AM-紧算子/几乎极限算子/强Gelfand-Phillips性质/Banach格

Key words

b-almost limited operator/b-AM-compact operator/almost limited operator/strong Gelfand-Phillips property/Banach lattices

分类

数理科学

引用本文复制引用

李娇娇,陈金喜,陈滋利..Banach格上的b-几乎极限算子[J].云南民族大学学报(自然科学版),2017,26(6):471-474,4.

基金项目

国家自然科学基金(11301285). (11301285)

云南民族大学学报(自然科学版)

OACSSCICSTPCD

1672-8513

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