Characterizations of Positive Operator-Monotone Functions and Monotone Riemannian Metrics via Borel Measures
نویسندگان
چکیده
منابع مشابه
Operator Monotone Functions, Positive Definite Kernels and Majorization
Let f(t) be a real continuous function on an interval, and consider the operator function f(X) defined for Hermitian operators X. We will show that if f(X) is increasing w.r.t. the operator order, then for F (t) = ∫ f(t)dt the operator function F (X) is convex. Let h(t) and g(t) be C1 functions defined on an interval I. Suppose h(t) is non-decreasing and g(t) is increasing. Then we will define ...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7121162