Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.

翻译：考虑希尔伯特空间在其自同构子群下的商空间。我们研究该轨道空间能否通过双李普希茨映射嵌入到希尔伯特空间中，并识别此类嵌入的约束条件。