Geodesic
Interpolation in Separable Frechet Spaces with Applications to Spaces of Analytic Functions
Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1110-1113

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Let E be a separable Fréchet space, and let E* be its topological dual space. We recall that a Fréchet space is, by definition, a complete metrizable locally convex topological vector space. A sequence {Ln } of continuous linear functional is said to be interpolating if for every sequence {An } of complex numbers, there exists an ƒ ∈ E such that Ln(ƒ) = An for n = 1, 2, 3, ... . In this paper, we give necessary and sufficient conditions that {Ln} be an interpolating sequence. They are different from the conditions in [2] and don't seem to be easily interderivable with them. 
Gauthier, Paul M.; Rubel, Lee A. Interpolation in Separable Frechet Spaces with Applications to Spaces of Analytic Functions. Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1110-1113. doi: 10.4153/CJM-1975-116-x
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