Weighted Geometric Means of Positive Operators
نویسندگان
چکیده
منابع مشابه
Weighted means and Karcher equations of positive operators.
The Karcher or least-squares mean has recently become an important tool for the averaging and study of positive definite matrices. In this paper, we show that this mean extends, in its general weighted form, to the infinite-dimensional setting of positive operators on a Hilbert space and retains most of its attractive properties. The primary extension is via its characterization as the unique s...
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2010
ISSN: 1225-6951
DOI: 10.5666/kmj.2010.50.2.213