Abstract
We study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces to ensure the BPBp-nu. Among other results, we show that -spaces have this property for every measure μ. On the other hand, we show that every infinite-dimensional separable Banach space can be renormed to fail the BPBp-nu. In particular, this shows that the Radon-Nikodým property (even reflexivity) is not enough to get BPBp-nu.
Citation
Sun Kwang Kim. Han Ju Lee. Miguel Martín. "On the Bishop-Phelps-Bollobás Property for Numerical Radius." Abstr. Appl. Anal. 2014 (SI20) 1 - 15, 2014. https://doi.org/10.1155/2014/479208