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Superoptimal analytic approximations of matrix functions.

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Superoptimal analytic approximations of matrix functions. / Peller, V. V.; Young, N. J.
In: Journal of Functional Analysis, Vol. 120, No. 2, 1994, p. 300-343.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Peller, VV & Young, NJ 1994, 'Superoptimal analytic approximations of matrix functions.', Journal of Functional Analysis, vol. 120, no. 2, pp. 300-343. https://doi.org/10.1006/jfan.1994.1034

APA

Peller, V. V., & Young, N. J. (1994). Superoptimal analytic approximations of matrix functions. Journal of Functional Analysis, 120(2), 300-343. https://doi.org/10.1006/jfan.1994.1034

Vancouver

Peller VV, Young NJ. Superoptimal analytic approximations of matrix functions. Journal of Functional Analysis. 1994;120(2):300-343. doi: 10.1006/jfan.1994.1034

Author

Peller, V. V. ; Young, N. J. / Superoptimal analytic approximations of matrix functions. In: Journal of Functional Analysis. 1994 ; Vol. 120, No. 2. pp. 300-343.

Bibtex

@article{f5ecd589b34f4e45ade9a72bdacd6497,
title = "Superoptimal analytic approximations of matrix functions.",
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).",
author = "Peller, {V. V.} and Young, {N. J.}",
year = "1994",
doi = "10.1006/jfan.1994.1034",
language = "English",
volume = "120",
pages = "300--343",
journal = "Journal of Functional Analysis",
publisher = "Academic Press Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Superoptimal analytic approximations of matrix functions.

AU - Peller, V. V.

AU - Young, N. J.

PY - 1994

Y1 - 1994

N2 - 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).

AB - 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).

U2 - 10.1006/jfan.1994.1034

DO - 10.1006/jfan.1994.1034

M3 - Journal article

VL - 120

SP - 300

EP - 343

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -