Some properties of the Pisier-Zu interpolation spaces
Sersouri, A.
Colloquium Mathematicae, Tome 66 (1993), p. 43-50 / Harvested from The Polish Digital Mathematics Library
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For a closed subset I of the interval [0,1] we let A(I) = [v1(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 < ω1, 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 [v1(I),C(I)]θq.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210203 
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     year = {1993},
     pages = {43-50},
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Sersouri, A. Some properties of the Pisier-Zu interpolation spaces. Colloquium Mathematicae, Tome 66 (1993) pp. 43-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv65i1p43bwm/

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