Some properties of the Pisier-Zu interpolation spaces

• Autorzy: A. Sersouri
• Języki publikacji: EN

Abstrakty

EN

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 $[v_1(I),C(I)]_{θq}$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 43-50

Daty

wydano

1993

otrzymano

1992-08-05

Twórcy

autor

A. Sersouri

• C.N.R., B.P. 1346 R.P., Rabat, Morocco

Bibliografia

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