Interpolating inequalities related to a recent result of Audenaert |
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| Authors: | Mohammad Al-khlyleh |
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| Institution: | Department of Basic Sciences and Mathematics, Philadelphia University, Amman, Jordan. |
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| Abstract: | Audenaert recently obtained an inequality for unitarily invariant norms that interpolates between the arithmetic–geometric mean inequality and the Cauchy–Schwarz inequality for matrices. A refined version of Audenaert’s inequality for the Hilbert–Schmidt norm is given. Other interpolating inequalities for unitarily invariant norms are also presented. |
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| Keywords: | Singular value Hilbert–Schmidt norm unitarily invariant norm inequality |
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