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

Published 30 Dec 2012 in math.FA | (1212.6761v2)

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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