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.
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Kumari, R., Sarkar, J., Sarkar, S. et al. Factorizations of Kernels and Reproducing Kernel Hilbert Spaces. Integr. Equ. Oper. Theory 87, 225–244 (2017). https://doi.org/10.1007/s00020-017-2348-z
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DOI: https://doi.org/10.1007/s00020-017-2348-z