Complex strict convexity of absolute norms on Cn and direct sums of Banach spaces

Journal of Mathematical Analysis and Applications（2006）

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摘要

We show that an absolute normalized norm on C2 is complex strictly convex if and only if the associated convex function ψ on [0,1] satisfies ψ(t)>max{1−t,t} for all 02, equipped with an absolute normalized norm, is also given.

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关键词

Complex strictly convex,Absolute normalized norms

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