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Interpolating sequences for bounded analytic functions
Author(s):
Pablo
Galindo;
Alejandro
Miralles
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3225-3231.
MSC (2000):
Primary 46G20;
Secondary 32A65
Posted:
May 14, 2007
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Abstract:
We prove that any sequence in the open ball of a complex Banach space  even in that of  whose norms are an interpolating sequence for  is interpolating for the space of all bounded analytic functions on  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
DOI:
10.1090/S0002-9939-07-08863-6
PII:
S 0002-9939(07)08863-6
Keywords:
Analytic function,
Banach space,
interpolation
Received by editor(s):
June 21, 2006
Posted:
May 14, 2007
Additional Notes:
Supported by MEC and FEDER Project BFM 2003-07540 (DGI. Spain)
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
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