COMPACT-OPERATORS IN BANACH-LATTICES

被引：211

作者：

DODDS, PG ^{[1
]}

FREMLIN, DH ^{[1
]}

机构：

[1] UNIV ESSEX,COLCHESTER CO4 3SQ,ESSEX,ENGLAND

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 34卷 / 04期

关键词：

D O I：

10.1007/BF02760610

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Disjoint sequence methods from the theory of Riesz spaces are used to study compact operators on Banach lattices. A principal new result of the paper is that each positive map from a Banach lattice E to a Banach lattice F with compact majorant is itself compact provided the norms on E′ and F are order continuous. © 1979 The Weizmann Science Press of Israel.

引用

页码：287 / 320

页数：34

共 29 条

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