On the sum of a narrow and a compact operators

被引：8

作者：

Mykhaylyuk, Volodymyr ^{[1
]}

机构：

[1] Chernivtsi Natl Univ, Dept Appl Math, UA-58012 Chernovtsy, Ukraine

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 09期

关键词：

Narrow operators; Compact operators;

D O I：

10.1016/j.jfa.2014.01.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our main technical tool is a principally new property of compact narrow operators which works for a domain space without an absolutely continuous norm. It is proved that for every Kothe F-space X and for every locally convex F-space Y the sum T-1 + T-2 of a narrow operator T-1 : X -> Y and a compact narrow operator T-2 : X -> Y is a narrow operator. This gives a positive answers to questions asked by M. Popov and B. Randrianantoanina [6, Problems 5.6 and 11.63]. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：5912 / 5920

页数：9

共 9 条

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