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Proceedings of the American Mathematical Society

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Complex interpolation and convexity

Author: Marco Vignati
Journal: Proc. Amer. Math. Soc. 99 (1987), 705-711
MSC: Primary 46M35; Secondary 46B20
MathSciNet review: 877044
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Abstract: The relations between the complex theory of interpolation for families of Banach spaces and the notion of uniform convexity are studied. It is proven that the moduli of uniform convexity vary smoothly with the interpolation spaces. A new notion of "distance" between Banach spaces is introduced.

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