Peller, V. V. and Young, N. J. (1994) Superoptimal analytic approximations of matrix functions. Journal of Functional Analysis, 120 (2). pp. 300-343.
Full text not available from this repository.Official URL: http://dx.doi.org/10.1006/jfan.1994.1034
Abstract
We study the approximation of a bounded matrix-valued function G on the unit circle by functions Q bounded and analytic in the unit disc. We show that if G is continuous then there is a unique Q for which the error G - Q has a strong minimality property involving not only the L∞-norm of G - Q but also the suprema of its subsequent singular values. We obtain structural properties of the error G - Q and show that certain smoothness properties of G are inherited by Q (e.g., membership of Besov spaces).
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Functional Analysis |
| Subjects: | Q Science > QA Mathematics |
| Departments: | UNSPECIFIED |
| ID Code: | 19612 |
| Deposited By: | ep_ss_importer |
| Deposited On: | 12 Nov 2008 15:10 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 15:33 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/19612 |
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