English

On the numerical index of absolute symmetric norms on the plane

Functional Analysis 2020-05-04 v2

Abstract

We give a lower bound for the numerical index of two-dimensional real spaces with absolute and symmetric norm. This allows us to compute the numerical index of the two-dimensional real LpL_p-space for 3/2p33/2\leq p\leq 3.

Keywords

Cite

@article{arxiv.2002.07529,
  title  = {On the numerical index of absolute symmetric norms on the plane},
  author = {Javier Merí and Alicia Quero},
  journal= {arXiv preprint arXiv:2002.07529},
  year   = {2020}
}

Comments

This article has been accepted for publication in Linear and Multilinear Algebra, published by Taylor & Francis