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 |
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