Superoptimal completions of triangular matrices |
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Authors: | Hugo J. Woerdeman |
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Affiliation: | (1) Department of Mathematics, The College of William and Mary, 23187 Williamsburg, Virginia |
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Abstract: | We construct the unique completion of a partial triangular matrix with compact operator entries that has the property that its sequence of singular values is minimal in lexicographical order among all completions. In addition some partial results regarding the singular values of this superoptimal completion are presented.The research was done while the author visited the Department of Mathematics at the George Washington University.Supported by the College of William and Mary |
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Keywords: | 47A20 15A18 |
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