A theorem on polynomial-star approximation

Davie, A. M.; Gamelin, T. W.

doi:10.1090/S0002-9939-1989-0947313-8

A theorem on polynomial-star approximation
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by A. M. Davie and T. W. Gamelin PDF

Proc. Amer. Math. Soc. 106 (1989), 351-356 Request permission

Abstract:

We prove that the unit ball of a Banach space is polynomial-star dense in the unit ball of its bidual. This strengthens Goldstine’s theorem on weak-star density.

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