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

Clouâtre, Raphaël; Hartz, Michael; Schillo, Dominik

doi:10.1090/proc/14736

A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor
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by Raphaël Clouâtre, Michael Hartz and Dominik Schillo

Proc. Amer. Math. Soc. 148 (2020), 731-740

DOI: https://doi.org/10.1090/proc/14736

Published electronically: August 7, 2019

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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.

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