Selected papers:

Metric-adjusted skew information: Convexity and restricted forms of superadditivity. Lett. Math. Phys. 93, 1-13 (2010). [pdf]
Application of operator monotone functions in economics. Proceedings of the Estonian Academy of Sciences 59, 42-47 (2010). [pdf]
Non-commutative Hardy inequalities. Bull. London Math. Soc. 41, 1009-1016 (2009). [pdf]
Subjective expected utility theory with "small worlds". Discussion Papers No. 09-26. Department of Economics. University of Copenhagen. [pdf]
Quantum statistics and measures of quantum information. In Algebraic and Geometric methods in Statistics, Chapter 20, 327-338. Cambridge University Press (2010). [pdf]
Generalized non-commutative Hardy and Hardy-Hilbert type inequalities (2009); to appear in the Int. J. Math. [pdf]
Differential analysis of matrix convex functions II. Journal of Inequalities in Pure and Applied Mathematics 10(2), article 32 (2009). [pdf]
On a correspondence between regular and non-regular operator monotone functions. Linear Algebra and its Applications 430, 2225-2232 (2009). [pdf]
Some operator monotone functions. Linear Algebra and its Applications 430, 795-799 (2009). [pdf]
Inequalities for Quantum skew information. Lett. Math. Phys. 85, 135-146 (2008). [pdf]
Metric adjusted skew information. Proc. Natl. Acad. Sci. USA 205, 9909-9916 (2008). [pdf]
Non-commutative Hardy inequalities. Preprint 2008. [pdf]
The application of operator monotone functions in economics. Preprint 2008. [pdf]
Estimating relative risk premia for currency carry trades. Preprint 2008. [pdf]
Decreasing relative risk premium. The Berkey Electronic Journal of Theoretical Economics 7, Iss. 1 (Topics), Article 37 (2007). [pdf]
Jensen's operator inequality and its converses. Math. Scand. 100 (2007), 61-73. [pdf]
The Wigner-Yanase entropy is not subadditive. Journal of Statistical Physics 126 (2007), 643-648. [pdf]
Differential analysis of matrix convex functions. Linear Algebra and its Applications 420 (2007) 102-116. [pdf]
Characterizations of symmetric monotone metrics on the state space of quantum systems. Quantum Information and Computation 6 (2006) 597-605. [pdf]
Extensions of Lieb's concavity theorem. Journal of Statistical Physics 124 (2006), 87-101. [pdf]
Trace functions as Laplace transforms. Journal of Mathematical Physics 47, 043504 (2006) [pdf]
Copyright (2006) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Jensen's inequality for conditional expectations. Journal of Inequalities in Pure and Applied Mathematics 6(5) Art. 133 (2005), 1-5. [pdf]
A general theory of decision making. AJMAA 2(2), Art. 5 (2005), 1-13. [pdf]
Monotone trace functions of several variables. International Journal of Mathematics 16 (2005), 777-785. [pdf]
Subjective expected utility theory with "small worlds", August 3rd 2004 (revised December 29 2006), 26 pages. [pdf]
Lower bounds on products of correlation coefficients. Journal of Inequalities in Pure and Applied Mathematics 5(1) Art. 16 (2004), 1-5. [pdf]
Gaps between classes of matrix monotone functions. Bull. London Math. Soc 36 (2004), 53-58. [pdf]
Jensen's trace inequality in several variables. International Journal of Mathematics 14 (2003), 667-681. [pdf]
Jensen's operator inequality. Bull. London Math. Soc. 35 (2003), 553-564. [pdf]
Operator monotone functions of several variables. Math. Inequal. Appl. 6 (2003), 1-17. [pdf]
Convex trace functions of several variables. Linear Algebra and its Applications 341 (2002), 309-315. [pdf]
Convex matrix functions. Cubo Matemática Educational 4 (2002), 163-182. [pdf]
Operator inequalities associated with Jensen's inequality, 67-98. In T.M. Rassias, editor, Survey on Classical Inequalities. Kluwer Academic Publishers, 2000. [pdf]
Jensen's operator inequality for functions of several variables. Proc. Amer. Math. Soc. 128 (2000), 2075-2084. [pdf]
Operator convex functions of several variables. Publ. RIMS, Kyoto Univ. 33 (1997), 443-464. [pdf]
Convex and monotone matrix functions and their applications in operator theory. Ph.D. dissertation, Copenhagen University Institute of Mathematics Report no. 3 (1983), 1--28. [pdf]