| Title | ON A DIFFERENTIAL INEQUALITY |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | Nikolov R |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 104 |
| Pagination | 139-153 |
| ISSN | 0205-0808 |
| Keywords | Banach spaces geometry, Banach–Mazur distance, moduli of convexity and smoothness |
| Abstract | We show that the existing methods for estimating the distance of a two-dimensional normed space with modulus of smoothness of power type 2 to the Euclidean space generated by the John sphere of the former, are not exact. To this end, we construct a class of simple counterexamples in the plane. |
| 2000 MSC | 46B03, 46B20 |
| Attachment | Size |
|---|---|
 104-139-153.pdf | 177.84 KB |