The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of Brehmer type submodules.
翻译:论文讨论了一系列关于复制内核希尔伯特空间的结果,这些结果与内核的因子化有关,特别是,事实证明,对于一大批空间来说,等度乘数是微不足道的,其中还给出了获得特定类型的放大以及布雷默型子模块分类的某些空间条件。