Interpolating sequences for bounded analytic functions
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- by Pablo Galindo and Alejandro Miralles PDF
- Proc. Amer. Math. Soc. 135 (2007), 3225-3231 Request permission
Abstract:
We prove that any sequence in the open ball of a complex Banach space $E,$ even in that of $E^{**},$ whose norms are an interpolating sequence for $H^\infty ,$ is interpolating for the space of all bounded analytic functions on $B_E.$ The construction made yields that the interpolating functions depend linearly on the interpolated values.References
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Additional Information
- Pablo Galindo
- Affiliation: Departamento de Análisis Matemático, Dr. Moliner, 50, Burjassot 46100, Universidad de Valencia, Spain
- Email: Pablo.Galindo@uv.es
- Alejandro Miralles
- Affiliation: Departamento de Análisis Matemático, Dr. Moliner, 50, Burjassot 46100, Universidad de Valencia, Spain
- Email: Alejandro.Miralles@uv.es
- Received by editor(s): June 21, 2006
- Published electronically: May 14, 2007
- Additional Notes: Supported by MEC and FEDER Project BFM 2003-07540 (DGI. Spain)
- Communicated by: Jonathan M. Borwein
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3225-3231
- MSC (2000): Primary 46G20; Secondary 32A65
- DOI: https://doi.org/10.1090/S0002-9939-07-08863-6
- MathSciNet review: 2322753