Operator-norm inequalities and interpolated trace inequalities |
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| Authors: | A. Yousef M. Sababheh R. Khalil |
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| Affiliation: | 1. Department of Mathematics, The University of Jordan, Amman, Jordan.abd.yousef@ju.edu.jo;3. Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan.;4. Department of Mathematics, Sharjah University, Sharjah, UAE.;5. Department of Mathematics, The University of Jordan, Amman, Jordan. |
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| Abstract: | In this article, we investigate some operator-norm inequalities related to some conjectures posed by Hayajneh and Kittaneh that are related to questions of Bourin regarding a special type of inequalities referred to as subadditivity inequalities. While some inequalities are meant to answer these conjectures, other inequalities present reverse-type inequalities for these conjectures. Then, we present some new trace inequalities related to Heinz means inequality and use these inequalities to prove some variants of the aforementioned conjectures. |
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| Keywords: | unitarily invariant norm operator inequality trace norm Hilbert–Schmidt norm positive operator |
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