值在圆内的可测连续函数群的酉表示
Unitary representations of the groups of measurable and continuous functions with values in the circle
摘要：
我们给出了一个分类的酉表示某些波兰，不一定是局部紧，群体：群体的所有可测函数的价值观在循环和群体的所有连续函数紧凑，第二可数，零维空间的价值观在循环。在证明我们的分类结果时，使用了线性算子的某些结构定理和因子分解定理。
英文摘要：
We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used.
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