The Compact Approximation Property does not imply the Approximation Property

The Compact Approximation Property does not imply the Approximation Property
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DOI:
10.4064/sm-103-1-99-108
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发表时间:
1992-05
期刊:
arXiv: Functional Analysis
影响因子:
--
通讯作者:
G. Willis
G. Willis
中科院分区:
其他
文献类型:
--
作者:
G. Willis

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它展示了如何构造,给定一个不具有近似性质的巴拿赫空间,另一个不具有近似性质但具有紧化近似性质的巴拿赫空间。
It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.