154 citations · 688 across the 38 of their papers we have counts for
4 papers · 1 filter
Golden-Thompson's inequality for deformed exponentials
Frank Hansen
Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We…
Multivariate extensions of the Golden-Thompson inequality
Frank Hansen
We study concave trace functions of several operator variables and formulate and prove multivariate generalisations of the Golden-Thompson inequality. The obtained results imply th…
Regular operator mappings and multivariate geometric means
Frank Hansen
We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general th…
Characterisation of matrix entropies
Frank Hansen, Zhihua Zhang
The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy functional constructed from a r…