论文标题
具有标准的Markuševič基础的Asplund空间，并非薄弱地生成
An Asplund space with norming Markuševič basis that is not weakly compactly generated
论文作者
论文摘要
我们使用标准的Markuševič基础构建了Asplund Banach Space $ \ Mathcal {X} $，因此$ \ Mathcal {X} $并非弱地生成。这最初是由于吉尔斯·戈德弗罗伊（Gilles Godefroy）而解决了九十年代初期的长期开放问题。在通往证明的途中，我们构建了一个奇特的紧凑空间的例子，这也解决了由于WiesławKubiś和Arkady Leiderman引起的问题。
We construct an Asplund Banach space $\mathcal{X}$ with a norming Markuševič basis such that $\mathcal{X}$ is not weakly compactly generated. This solves a long-standing open problem from the early nineties, originally due to Gilles Godefroy. En route to the proof, we construct a peculiar example of scattered compact space, that also solves a question due to Wiesław Kubiś and Arkady Leiderman.
