Positive Definiteness Of Functions With Applications To Operator Norm Inequalities
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Positive Definiteness of Functions with Applications to Operator Norm Inequalities
Author | : Hideki Kosaki |
Publisher | : American Mathematical Soc. |
Total Pages | : 93 |
Release | : 2011-06-10 |
Genre | : Mathematics |
ISBN | : 0821853074 |
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Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.
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The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability f