Article

Three kinds of numerical indices of a Banach space II

DOI: 10.2989/16073606.2015.1068236
Author(s): Sung Guen Kim Department of Mathematics, Republic of Korea,

Abstract

For a Banach space E and a positive integer k, we study about three kinds of numerical indices of E, the multilinear numerical index (E), the symmetric multilinear numerical index (E) and the polynomial numerical index (E). First we show that (E**) ≤ (E) for I=m, s and present some inequalities among (E), (E) and (E). We also prove that if E is a strictly convex Banach space, then (E)=0 for every k ≥ 2.

Get new issue alerts for Quaestiones Mathematicae