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A difference counterpart to a matrix Hölder inequality |
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| Authors: | Masatoshi Fujii |
| Institution: | a Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582, Japan b Department of Mathematics, Kyungpook National University, Taegu 702-701, Republic of Korea c Faculty of Engineering, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-city, Saitama 337-8570, Japan |
| Abstract: | We point out a sharp reverse Cauchy-Schwarz/Hölder matrix inequality. The Cauchy-Schwarz version involves the usual matrix geometric mean: Let Ai and Bi be positive definite matrices such that 0<mAi?Bi?MAi for some scalars 0<m?M and i=1,2,?,n. Then |
| Keywords: | 15A60 47A30 47A63 47A64 |
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