Spatial numerical range of operators on weighted Hardy spaces.
Abdollahi, Abdolaziz, Heydari, Mohammad Taghi (2011)
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Gaur, A.K., Husain, T. (1989)
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We show that the numerical index of a -, -, or -sum of Banach spaces is the infimum of the numerical indices of the summands. Moreover, we prove that the spaces C(K,X) and (K any compact Hausdorff space, μ any positive measure) have the same numerical index as the Banach space X. We also observe that these spaces have the so-called Daugavet property whenever X has the Daugavet property.