Horváth, László (2018) Generalizations of Jensen's Operator Inequality for Convex Functions to Normal Operators. Annals of Functional Analysis, 9 (4). pp. 566-573. ISSN 2008-8752
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Official URL: https://doi.org/10.1215/20088752-2018-0002
Abstract
In this article, we generalize a well-known operator version of Jensen's inequality to normal operators. The main techniques employed here are the spectral theory for bounded normal operators on a Hilbert space, and different Jensen-type inequalities.We emphasize the application of a vector ver- sion of Jensen's inequality. By applying our results, some classical inequalities obtained for self-adjoint operators can also be extended.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Dr. László Horváth |
| Date Deposited: | 18 Dec 2018 10:19 |
| Last Modified: | 18 Dec 2018 10:19 |
| URI: | http://real.mtak.hu/id/eprint/88673 |
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