关于弱算子Daugavet性质与贫子空间
On the weak operator Daugavet property and poor subspaces
首次发表
浏览论文内容
中文总结 AI 辅助
该研究构造了具Daugavet性质但无弱算子Daugavet性质的巴拿赫空间实例，证明具Daugavet性质的可分巴拿赫空间含与ℓ¹同构的非贫子空间，且L^∞[0,1]的可分子空间均为贫的。
中文摘要 AI 辅助
我们将给出一个具有Daugavet性质但不具备弱算子Daugavet性质的巴拿赫空间的例子。我们还将证明，每个具有Daugavet性质的可分巴拿赫空间都包含一个与ℓ¹同构的非贫子空间，同时注意到L^∞[0,1]的每个可分子空间都是贫的。
英文摘要
We will provide an example of a Banach space with the Daugavet property which does not possess the weak operator Daugavet property. We will also show that every separable Banach space with the Daugavet property contains a non-poor subspace isomorphic to $\ell^1$ while noticing that every separable subspace of $L^\infty[0,1]$ is poor.
