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
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| 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] | |