Factorizations of Kernels and Reproducing Kernel Hilbert Spaces
Functional Analysis
2016-05-10 v1 Complex Variables
Operator Algebras
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.
Cite
@article{arxiv.1605.02544,
title = {Factorizations of Kernels and Reproducing Kernel Hilbert Spaces},
author = {Rani Kumari and Jaydeb Sarkar and Srijan Sarkar and Dan Timotin},
journal= {arXiv preprint arXiv:1605.02544},
year = {2016}
}
Comments
18 pages