A theorem on polynomial-star approximation

A theorem on polynomial-star approximation
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DOI:
10.1090/s0002-9939-1989-0947313-8
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发表时间:
1989-02
期刊:
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影响因子:
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通讯作者:
A. Davie;T. Gamelin
A. Davie;T. Gamelin
中科院分区:
其他
文献类型:
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作者:
A. Davie;T. Gamelin

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证明了Banach空间的单位球在其双对偶的单位球上是多项式星稠密的。这加强了Goldstine关于弱星密度的定理。
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.