Contemporary Mathematics Unitary Group Actions and Hilbertian Polish Metric Spaces
Contemporary Mathematics Unitary Group Actions and Hilbertian Polish Metric Spaces
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当代数学酉群作用和希尔伯特波兰度量空间
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通讯作者：
Su Gao
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作者：
Su Gao
研究了酉群的泛作用以及由这些作用所引起的泛等价关系。考虑了Hilbert-Polish度量空间的等距等价关系，证明了它是Borel双可约的，其轨道等价关系是酉群的一个泛作用所诱导的.
We investigate universal actions of the unitary group and universal equivalence relations induced by these actions. We consider the isometric equivalence relation for Hilbertian Polish metric spaces and prove that it is Borel bireducible with the orbit equivalence relation induced by a univeral action of the unitary group.