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Interpolation by analytic functions on c0

Published online by Cambridge University Press:  24 October 2008

Richard M. Aron  and
Josip Globevnik
Richard M. Aron
Affiliation:
Department of Mathematics, Kent State University, Kent, Ohio 44242, U.S.A.
Josip Globevnik
Affiliation:
Institute of Mathematics, University of Ljubljana, 19 Jadranska, 61000 Ljubljana, Yugoslavia
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Abstract

Let B be the open unit ball of c0. We give a geometric characterization of the sequences {xn} ⊂ bB with the property that, given any bounded sequence {αn} ⊂ ℂ, there is a continuous function , analytic in B, such that f(xn) = αn for all n and such that supi∈B|f(x)| = supn∈N|αn|.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 295 - 302
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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