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Hölder type inequalities for matrices

Mathematical Inequalities and Applications (1998) 1(1) 1-30
DOI: 10.7153/mia-01-01
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Abstract

We discuss Hölder type inequalites involving (Ap+ Bp)1/P for positive semi-definite matrices A, B. Matrix or trace inequalities of Hölder type as well as weak majorizations of similar type are obtained. Also we give counter-examples for expected Hol̈der type inequalities.

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Ando, T., & Hiai, F. (1998). Hölder type inequalities for matrices. Mathematical Inequalities and Applications, 1(1), 1–30. https://doi.org/10.7153/mia-01-01

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