@misc{10481/31887, year = {2014}, url = {http://hdl.handle.net/10481/31887}, 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.}, organization = {The second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A1006869). The third author was partially supported by Spanish MICINN and FEDER project no. MTM2012-31755 and by Junta de Andalucía and FEDER Grants FQM-185 and P09-FQM-4911.}, publisher = {Hindawi Publishing Corporation}, keywords = {Attaining operators}, keywords = {Holomorphic functions}, keywords = {Spaces}, keywords = {Polynomials}, keywords = {Denseness}, keywords = {Index}, keywords = {Norm}, title = {On the Bishop-Phelps-Bollobás Property for Numerical Radius}, doi = {10.1155/2014/479208}, author = {Kim, Sun Kwang and Lee, Han Ju and Martín Suárez, Miguel}, }