Operator-Lipschitz estimates for the singular value functional calculus

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/71516
Identification Number/DOI	10.1090/proc/12843
Refereed	Yes
Divisions	No Reading authors. Back catalogue items
Publisher	American Mathematical Society
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