Proceedings of the American Mathematical Society

Author(s): Angel Rodriguez Palacios
Journal: Proc. Amer. Math. Soc. 129 (2001), 815-821.
MSC (2000): Primary 46B04, 46B20
Posted: September 19, 2000
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We prove that a Banach space

is uniformly smooth if and only if, for every

-valued bounded function

on the unit sphere of

, the intrinsic numerical range of

is equal to the closed convex hull of the spatial numerical range of

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