REVERSES OF THE TRIANGLE INEQUALITY FOR ABSOLUTE VALUE IN HILBERT C\(^∗\)-MODULES
Keywords:
triangle inequality, Hilbert C\(^*\)-module, C\(^*\)-algebra, positive elementAbstract
In this paper we obtain some inequalities related to the reverse triangle inequalities for vectors in the framework of Hilbert C*-modules. Also we improve a celebrated reverse triangle inequality due to Diaz and Metcalf. As a consequence, we apply our results to get some operator inequalities.
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Published
2019-02-27
How to Cite
Mansoori, A., Omidvar, M. E., Moradi, H. R., & Dragomir, S. S. (2019). REVERSES OF THE TRIANGLE INEQUALITY FOR ABSOLUTE VALUE IN HILBERT C\(^∗\)-MODULES. Italian Journal of Pure and Applied Mathematics, 41, 262–273. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7130
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Section
Articoli - Forum Editrice
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Copyright (c) 2019 Akram Mansoori, Mohsen Erfanian Omidvar, Hamid Reza Moradi, Silvestru Sever Dragomir
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
