Interpolating sequences in the spectrum of $H^\infty$ I
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- by Raymond Mortini PDF
- Proc. Amer. Math. Soc. 128 (2000), 1703-1710 Request permission
Abstract:
We show that a sequence of trivial points in $M(H^{\infty })$ is interpolating if and only if it is discrete. This answers a question of K. Izuchi. We also give a sufficient topological condition for a sequence of nontrivial points to be interpolating.References
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Additional Information
- Raymond Mortini
- Affiliation: Département de Mathématiques, Université de Metz, Ile du Saulcy, F-57045 Metz, France
- Email: mortini@poncelet.univ-metz.fr
- Received by editor(s): March 6, 1998
- Received by editor(s) in revised form: July 13, 1998
- Published electronically: October 6, 1999
- Communicated by: Albert Baernstein II
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1703-1710
- MSC (1991): Primary 46J15
- DOI: https://doi.org/10.1090/S0002-9939-99-05161-8
- MathSciNet review: 1641069