The concept of classical f-divergences gives a unified framework to construct and study
measures of dissimilarity of probability distributions; special cases include the relative …

Random matrices now play a role in many areas of theoretical, applied, and computational
mathematics. Therefore, it is desirable to have tools for studying random matrices that are …

Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

Predicting observables in equilibrium states is a central yet notoriously hard question in
quantum many-body systems. In the physically relevant thermodynamic limit, certain …

The matrix logarithm, when applied to Hermitian positive definite matrices, is concave with
respect to the positive semidefinite order. This operator concavity property leads to …

This book is a love poem to Loewner's theorem. There are other mathematical love poems,
although not many. One sign, not always present and not foolproof, is that like this book, the …

This paper presents a comprehensive exploration of semi-definite programming (SDP)
techniques within the context of quantum information. It examines the mathematical …

This paper proposes and studies new quantum version of f-divergences, a class of
functionals of a pair of probability distributions including Kullback–Leibler divergence, Renyi …

After I wrote in 1981 the joint paper [61] with M. Tsukada and M. Ohya on sufficiency of von
Neumann subalgebras and the relative entropy in a specialized situation, I wanted to extend …

Ann. Funct. Anal. 5 (2014), no. 2, 74–79 NON-COMMUTATIVE PERSPECTIVES 1. Introduction
and preliminaries Let f be a function de Page 1 Ann. Funct. Anal. 5 (2014), no. 2, 74–79 s nnals of …