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Factorizations of Kernels and Reproducing Kernel Hilbert Spaces

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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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Authors and Affiliations

  1. Statistics and Mathematics Unit, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore, 560059, India

    Rani Kumari, Jaydeb Sarkar & Srijan Sarkar

  2. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania

    Dan Timotin

Authors
  1. Rani Kumari
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  2. Jaydeb Sarkar
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  3. Srijan Sarkar
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  4. Dan Timotin
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Correspondence to Jaydeb Sarkar.

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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

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