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arXiv:1212.6761 [math.FA]AbstractReferencesReviewsResources

On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces

Antonio Avilés, Antonio J. Guirao, José Rodríguez

Published 2012-12-30, updated 2013-04-25Version 2

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.

Journal: J. Math. Anal. App. 419 (2014), 395-421
Categories: math.FA
Subjects: 46B20, 47A12, 54E45
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