ON A DIFFERENTIAL INEQUALITY

ЗаглавиеON A DIFFERENTIAL INEQUALITY
Вид публикацияJournal Article
Година на публикуване2017
АвториNikolov R
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том104
Pagination139-153
ISSN0205-0808
ключови думиBanach spaces geometry, Banach–Mazur distance, moduli of convexity and smoothness
Резюме
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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