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Superoptimal analytic approximations of matrix functions.

Peller, V. V. and Young, N. J. (1994) Superoptimal analytic approximations of matrix functions. Journal of Functional Analysis, 120 (2). pp. 300-343.

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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:
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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