ON A DIFFERENTIAL INEQUALITY

Authors

  • Rossen Nikolov

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.

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Published

2017-12-12

Issue

Vol. 104 (2017): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

ON A DIFFERENTIAL INEQUALITY. (2017). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 104, 139-153. https://annual.uni-sofia.bg/index.php/fmi/article/view/41