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Factorizations of Kernels and Reproducing Kernel Hilbert Spaces (1605.02544v1)
Published 9 May 2016 in math.FA, math.CV, and math.OA
Abstract: 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.