Dilation theorems for positive definite operator kernels having majorants
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: Journal of Functional Analysis
سال: 1981
ISSN: 0022-1236
DOI: 10.1016/0022-1236(81)90072-0