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arxiv: 1212.6761 · v2 · pith:T7XCWOY2new · submitted 2012-12-30 · 🧮 math.FA

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

classification 🧮 math.FA
keywords propertybishop-phelps-bollobasnumericalradiusspacescompactconditionsensuring
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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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