paper

A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor

arXiv:1905.05804 · doi:10.1090/proc/14736

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.

11 pages; minor changes; to appear in Proc. Amer. Math. Soc

A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor · wovepaper