Numerical index and duality
Functional Analysis
2015-06-26 v1
Abstract
We present an example of a Banach space whose numerical index is strictly greater than the numerical index of its dual, giving a negative answer to a question which has been latent since the beginning of the seventies. We also show a particular case in which the numerical index of the space and the one of its dual coincide.
Keywords
Cite
@article{arxiv.math/0509374,
title = {Numerical index and duality},
author = {Konstantin Boyko and Vladimir Kadets and Miguel Martin and Dirk Werner},
journal= {arXiv preprint arXiv:math/0509374},
year = {2015}
}