| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415202 | Journal of Functional Analysis | 2014 | 9 Pages |
Abstract
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 Köthe F-space X and for every locally convex F-space Y the sum T1+T2 of a narrow operator T1:XâY and a compact narrow operator T2:XâY 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].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Volodymyr Mykhaylyuk,