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Real interpolation for families of Banach spaces and convexity. (English) Zbl 0824.46023

Summary: We show how the geometrical properties of uniform convexity and uniformly non-\(\ell^ 1_ k\) are inherited by real interpolation for infinite families.

MSC:

46B20 Geometry and structure of normed linear spaces
46M35 Abstract interpolation of topological vector spaces
46B70 Interpolation between normed linear spaces
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