Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle

Abstract

We show that the Buzano-Dragomir inequality holds for quaternionic Hilbert spaces. Using this generalization, we derive the Dragomir inequality for the quaternionic numerical radius and Deutsch entropic uncertainty principle for quaternionic Hilbert spaces.

arXiv comment14 Pages; 0 Figures, Quaternionic Kraus Conjecture and Quaternionic Crouzeix Problem are added