论文标题
在形式$ \ mathrm {lip} _0(c(k))$的Banach空间的几何形状上
On the geometry of Banach spaces of the form $\mathrm{Lip}_0(C(K))$
论文作者
论文摘要
我们研究了hausdorff compacta $ k $的Banach Spaces $ \ MATHRM {LIP} _0(C(k))$的问题。特别是,为空间$ \ mathrm {lip} _0(c(k))$建立了足够的条件,以使某些无调集合$ \ vargamma $的$ \ mathrm {lip} _0(c_0(\ vargamma))$是同构的。
We investigate the problem of classifying the Banach spaces $\mathrm{Lip}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space $\mathrm{Lip}_0(C(K))$ to be isomorphic to $\mathrm{Lip}_0(c_0(\varGamma))$ for some uncountable set $\varGamma$.