Factorizations of Kernels and Reproducing Kernel Hilbert Spaces
Integral Equations and Operator Theory
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.
Kumari, Rani; Sarkar, Jaydeb; Sarkar, Srijan; and Timotin, Dan, "Factorizations of Kernels and Reproducing Kernel Hilbert Spaces" (2017). Journal Articles. 2693.