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A common range problem for model spaces

  • Javad Mashreghi ORCID logo , Marek Ptak ORCID logo and William T. Ross ORCID logo EMAIL logo
Published/Copyright: June 30, 2021

Abstract

We refine a result of [J. E. McCarthy, Common range of co-analytic Toeplitz operators, J. Amer. Math. Soc. 3 1990, 4, 793–799] and explore the common range of the co-analytic Toeplitz operators on a model space. The tools used to do this also yield information about when one can interpolate with an outer function.


Communicated by Siegfried Echterhoff


Funding statement: This work was supported by the NSERC Discovery Grant (Canada) and by the Ministry of Science and Higher Education of the Republic of Poland.

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Received: 2021-04-19
Published Online: 2021-06-30
Published in Print: 2021-07-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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