Weakly almost square Lipschitz-free spaces
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS(2023)
摘要
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.
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关键词
Lipschitz -free spaces, Length metric space, Weakly almost square, Diameter 2 property
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