It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by Calderon’s complex interpolation method) is uniformly non-l1n for every interpolate space. As corollaries analogous results are proved for the properties of B-convexity and uniform nonsquareness.
Complex interpolation and l1n property.
CASINI, EMANUELE GIUSEPPE
1992-01-01
Abstract
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by Calderon’s complex interpolation method) is uniformly non-l1n for every interpolate space. As corollaries analogous results are proved for the properties of B-convexity and uniform nonsquareness.
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