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Operator-Lipschitz estimates for the singular value functional calculus

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Andersson, F., Carlsson, M. and Perfekt, K.-M. (2015) Operator-Lipschitz estimates for the singular value functional calculus. Proceedings of the American Mathematical Society, 144 (5). pp. 1867-1875. ISSN 0002-9939 doi: 10.1090/proc/12843

Abstract/Summary

We consider a functional calculus for compact operators, acting on the singular values rather than the spectrum, which appears frequently in applied mathematics. Necessary and sufficient conditions for this singular value functional calculus to be Lipschitz-continuous with respect to the Hilbert-Schmidt norm are given. We also provide sharp constants.

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Item Type Article
URI https://reading-pure-test.eprints-hosting.org/id/eprint/71516
Identification Number/DOI 10.1090/proc/12843
Refereed Yes
Divisions Central Services
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
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