具有紧支撑的线性算子、概率测度和Milykmann映射
Linear operators with compact supports, probability measures and Milyutin maps
摘要：
引入了在函数空间之间具有紧支撑的正则算子的概念。在此基础上，利用具有紧支撑的正则扩张算子，得到了零维空间绝对扩张子的一个刻画。本文还研究了Milykings映射，并证明了Milykings映射的仿紧性、度量性和k-度量性等拓扑性质是保持不变的.
英文摘要：
The notion of a regular operator with compact supports between function spaces is introduced. On that base we obtain a characterization of absolute extensors for zero-dimensional spaces in terms of regular extension operators having compact supports. Milyutin maps are also considered and it is established that some topological properties, like paracompactness, metrizability and k-metrizability, are preserved under Milyutin maps.
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。
