Geodesic
Some properties of the Pisier-Zu interpolation spaces
Colloquium Mathematicum, Tome 65 (1993) no. 1, pp. 43-50 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm_65_1_43_50,
     author = {A. Sersouri},
     title = {Some properties of the {Pisier-Zu} interpolation spaces},
     journal = {Colloquium Mathematicum},
     pages = {43--50},
     year = {1993},
     volume = {65},
     number = {1},
     doi = {10.4064/cm-65-1-43-50},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-65-1-43-50/}
}
TY  - JOUR
AU  - A. Sersouri
TI  - Some properties of the Pisier-Zu interpolation spaces
JO  - Colloquium Mathematicum
PY  - 1993
SP  - 43
EP  - 50
VL  - 65
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-65-1-43-50/
DO  - 10.4064/cm-65-1-43-50
LA  - en
ID  - 10_4064_cm_65_1_43_50
ER  - 
%0 Journal Article
%A A. Sersouri
%T Some properties of the Pisier-Zu interpolation spaces
%J Colloquium Mathematicum
%D 1993
%P 43-50
%V 65
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-65-1-43-50/
%R 10.4064/cm-65-1-43-50
%G en
%F 10_4064_cm_65_1_43_50
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

Cité par Sources :