Factorizations of Kernels and Reproducing Kernel Hilbert Spaces

Authors

Rani Kumari, Indian Statistical Institute Bangalore
Jaydeb Sarkar, Indian Statistical Institute Bangalore
Srijan Sarkar, Indian Statistical Institute Bangalore
Dan Timotin, Institute of Mathematics of the Romanian Academy

Article Type

Research Article

Publication Title

Integral Equations and Operator Theory

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.

First Page

225

Last Page

244

DOI

10.1007/s00020-017-2348-z

Publication Date

2-1-2017

Comments

Open Access, Green

Recommended Citation

Kumari, Rani; Sarkar, Jaydeb; Sarkar, Srijan; and Timotin, Dan, "Factorizations of Kernels and Reproducing Kernel Hilbert Spaces" (2017). Journal Articles. 2693.
https://digitalcommons.isical.ac.in/journal-articles/2693