A theorem on polynomial-star approximation

Author:

Davie A. M.,Gamelin T. W.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

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2. R. M. Aron, B. J. Cole and T. W. Gamelin, Algebras of analytic functions on Banach spaces (in preparation).

3. A uniform algebra of analytic functions on a Banach space;Carne, T. K.;Trans. Amer. Math. Soc.,1989

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5. Wiley Classics Library;Dunford, Nelson,1988

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