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arXiv · 1212.6761

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

Antonio Avilés·Antonio J. Guirao·José Rodríguez
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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.

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Antonio Avilés, Antonio J. Guirao, José Rodríguez. 2013-04-25. On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces. https://arxiv.org/abs/1212.6761

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