From Matrix to Operator Inequalities
نویسندگان
چکیده
منابع مشابه
From Matrix to Operator Inequalities
We generalize Löwner’s method for proving that matrix monotone functions are operator monotone. The relation x ≤ y on bounded operators is our model for a definition for C∗-relations of being residually finite dimensional. Our main result is a meta-theorem about theorems involving relations on bounded operators. If we can show there are residually finite dimensional relations involved, and veri...
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The bilinear inequality is derived from the linear one with the help of an operatorvalued version of the Cauchy-Schwarz inequality. All these results, at least in their finite form, are obtained by simple and elegant methods well within the scope of a basic course on Hilbert spaces. (They can alternatively be obtained by tensor product techniques, but in the author’s view, these methods are les...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2012
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2011-063-8