Behavior of entire functions on balls in a Banach space |
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| Authors: | J.M. Ansemil R.M. Aron S. Ponte |
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| Affiliation: | aDepartamento de Análisis Matemático, Universidad Complutense de Madrid, Ciudad Universitaria, 28040-Madrid, Spain;bDepartment of Mathematical Sciences, Kent State University, Kent, OH 44242, USA |
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| Abstract: | In this paper we prove that given any two disjoint balls in an infinite dimensional complex Banach space, there exists an entire function which is bounded on one and unbounded on the other. |
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| Keywords: | MSC: 46G20 46A03 46A13 |
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