Geodesic
Some properties of the Pisier-Zu interpolation spaces
Colloquium Mathematicum, Tome 65 (1993) no. 1, pp. 43-50.

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For a closed subset I of the interval [0,1] we let A(I) = [v_1(I),C(I)]_{(1/2)2}. We show that A(I) is isometric to a 1-complemented subspace of A(0,1), and that the Szlenk index of A(I) is larger than the Cantor index of I. We also investigate, for ordinals η ω_1, the bases structures of A(η), A*(η), and $A_{*}(η)$ [the isometric predual of A(η)]. All the results of this paper extend, with obvious changes in the proofs, to the interpolation spaces $[v_1(I),C(I)]_{θq}$.
DOI : 10.4064/cm-65-1-43-50

A. Sersouri 1

1 
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A. Sersouri. Some properties of the Pisier-Zu interpolation spaces. Colloquium Mathematicum, Tome 65 (1993) no. 1, pp. 43-50. doi : 10.4064/cm-65-1-43-50. http://geodesic.mathdoc.fr/articles/10.4064/cm-65-1-43-50/

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