扩展Lipschitz（伪）度量的线性算子的不存在性
Nonexistence of linear operators extending Lipschitz (pseudo)metrics
摘要：
我们给出了一个零维紧致度量空间$X$及其闭子空间$A$的例子，使得$A$上的Lipschitz伪度量到$X$上的Lipschitz伪度量不存在连续线性扩张算子.该结构是在A.布鲁尼和尤。Brudnyi关于Lipschitz函数的线性扩张算子。
英文摘要：
We provide an example of a zero-dimensional compact metric space $X$ and its closed subspace $A$ such that there is no continuous linear extension operator for the Lipschitz pseudometrics on $A$ to the Lipschitz pseudometrics on $X$. The construction is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
