论文标题
巴拉克空间中的缩回和有限的近似特性
Retractions and the bounded approximation property in Banach spaces
论文作者
论文摘要
在本文中，我们证明，Banach Space $ X $的必要条件是承认生成的紧凑型Lipschitz缩回$ K $，该$ K $满足其形状的额外假设，是$ x $具有有限的近似属性。这是戈德弗罗伊和奥泽瓦提出的问题的部分解决方案。
In the present paper we prove that a necessary condition for a Banach space $X$ to admit a generating compact Lipschitz retract $K$, which satisfies an additional mild assumption on its shape, is that $X$ enjoys the Bounded Approximation Property. This is a partial solution to a question raised by Godefroy and Ozawa.
