Carathéodory-Fejér interpolation in locally convex topological vector spaces |
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Authors: | Daniel Alpay Olga Timoshenko |
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Institution: | a Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105 Beer-Sheva, Israel b Mathematics Department, 138 Cardwell Hall, Manhattan, KS 66506-2602, USA |
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Abstract: | We study Carathéodory-Herglotz functions whose values are continuous operators from a locally convex topological vector space which admits the factorization property into its conjugate dual space. We show how this case can be reduced to the case of functions whose values are bounded operators from a Hilbert space into itself. |
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Keywords: | 47Bxx 46A03 |
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