Comparison of Various Means for Operator
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Fumio Hiai; Hideki Kosaki
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Article
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1999
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Elsevier Science
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English
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For Hilbert space operators H, K, X with H, K 0 the norm inequality \_H 1ร2 XK 1ร2 \_ 1 2 \_HX+XK\_ is known, where \_ } \_ is an arbitrary unitarily invariant norm. A refinement of this arithmetic geometric mean inequality is studied. Similar norm inequalities are indeed established for various nat