Geodesic
Numerical index of vector-valued function spaces
Studia Mathematica, Tome 142 (2000) no. 3, pp. 269-280

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the numerical index of a $c_0$-, $l_1$-, or $l_∞$-sum of Banach spaces is the infimum of the numerical indices of the summands. Moreover, we prove that the spaces C(K,X) and $L_1(μ,X)$ (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.
DOI : 10.4064/sm-142-3-269-280

Miguel Martín 1 ; Rafael Payá 1

1 
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Miguel Martín; Rafael Payá. Numerical index of vector-valued function spaces. Studia Mathematica, Tome 142 (2000) no. 3, pp. 269-280. doi: 10.4064/sm-142-3-269-280

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