Backward shift invariant subspaces in reproducing kernel Hilbert spaces

Authors

  • Emmanuel Fricain
  • Javad Mashreghi
  • Rishika Rupam

DOI:

https://doi.org/10.7146/math.scand.a-119120

Abstract

In this note, we describe the backward shift invariant subspaces for an abstract class of reproducing kernel Hilbert spaces. Our main result is inspired by a result of Sarason concerning de Branges-Rovnyak spaces (the non-extreme case). Furthermore, we give new applications in the context of the range space of co-analytic Toeplitz operators and sub-Bergman spaces.

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Published

2020-03-29

Issue

Vol. 126 No. 1 (2020)

Section

Articles

How to Cite

[1]
E. Fricain, J. Mashreghi, and R. Rupam, “Backward shift invariant subspaces in reproducing kernel Hilbert spaces”, Math. Scand., vol. 126, no. 1, pp. 142–160, Mar. 2020, doi: 10.7146/math.scand.a-119120.