| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4590397 | Journal of Functional Analysis | 2014 | 8 Pages |
Abstract
We show examples of compact linear operators between Banach spaces which cannot be approximated by norm attaining operators. This is the negative answer to an open question posed in the 1970s. Actually, any strictly convex Banach space failing the approximation property serves as the range space. On the other hand, there are examples in which the domain space has a Schauder basis.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Miguel Martín,