Accessibility navigation

Operator-Lipschitz estimates for the singular value functional calculus

Lists
Tools

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

[img]
Preview
 Text - Accepted Version
· Please see our End User Agreement before downloading.
391kB

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item 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
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
ID Code:71516
Publisher:American Mathematical Society
Download Statistics

Downloads

Downloads per month over past year

Altmetric
Deposit Details

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation

See also