A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor
Functional Analysis
2020-09-23 v2 Complex Variables
Abstract
We provide a short argument to establish a Beurling-Lax-Halmos theorem for reproducing kernel Hilbert spaces whose kernel has a complete Nevanlinna-Pick factor. We also record factorization results for pairs of nested invariant subspaces.
Keywords
Cite
@article{arxiv.1905.05804,
title = {A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor},
author = {Raphaël Clouâtre and Michael Hartz and Dominik Schillo},
journal= {arXiv preprint arXiv:1905.05804},
year = {2020}
}
Comments
11 pages; minor changes; to appear in Proc. Amer. Math. Soc