On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces
Functional Analysis
2014-06-30 v2
Abstract
We study the Bishop-Phelps-Bollobas property for numerical radius within the framework of C(K) spaces. We present several sufficient conditions on a compact space K ensuring that C(K) has the Bishop-Phelps-Bollobas property for numerical radius. In particular, we show that C(K) has such property whenever K is metrizable.
Keywords
Cite
@article{arxiv.1212.6761,
title = {On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces},
author = {Antonio Avilés and Antonio J. Guirao and José Rodríguez},
journal= {arXiv preprint arXiv:1212.6761},
year = {2014}
}