论文标题
几乎无平方的Lipschitz的空间
Weakly almost square Lipschitz-free spaces
论文作者
论文摘要
我们构建了一个无lipschitz的空间，该空间几乎是正方形的，但几乎没有平方。这是这样的Banach空间的第一个例子。我们还证明了一个结果，这表明测量公制空间是弱平方lipschitz的空间的潜在度量表征。最后，我们证明了无Lipschitz的空间无法具有对称的强直径$ 2 $属性。
We construct a Lipschitz-free space that is locally almost square but not weakly almost square; this is the first example of such a Banach space. We also prove a result, which indicates that geodesic metric spaces are a potential metric characterization for weakly almost square Lipschitz-free spaces. Lastly, we prove that a Lipschitz-free space can not have the symmetric strong diameter $2$ property.
