24 citations · 29 across the 2 of their papers we have counts for
4 papers
Trace functions as Laplace transforms
Frank Hansen
We study trace functions on the form $ t\to\tr f(A+tB) $ where is a real function defined on the positive half-line, and and are matrices such that is posit…
Operator monotone functions of several variables
Frank Hansen
We propose a notion of operator monotonicity for functions of several variables, which extends the well known notion of operator monotonicity for functions of only one variable. Th…
Gaps between classes of matrix monotone functions
Frank Hansen, Guoxing Ji, Jun Tomiyama
We prove the existence of gaps between all the different classes of matrix monotone functions defined on an interval, provided the interval is non trivial and different from the wh…
Jensen's Operator Inequality
Frank Hansen, Gert K. Pedersen
We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval. This is accomplished…