On an interpolation problem of Dym and Gohberg (Q1113066)
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scientific article; zbMATH DE number 4080206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an interpolation problem of Dym and Gohberg |
scientific article; zbMATH DE number 4080206 |
Statements
On an interpolation problem of Dym and Gohberg (English)
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1988
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The purpose of this paper is to give a slight generalization of the interpolation problem of \textit{H. Dym} and \textit{I. Gohberg} [Operator Theory: Adv. and Appl. 29, 117-150 (1988)]. Here the Wiener space condition is dropped and the blocks are allowed to be infinite dimensional. A necessary and sufficient condition for the existence of a solution of the new problem is obtained by the commutant lifting theorem and the Davis-Kaplan-Weinberg filling theorem.
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interpolation
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commutant lifting theorem
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Davis-Kaplan-Weinberg filling theorem
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