Generalized Log-Majorization and Multivariate Trace Inequalities

Some matrix-inequalities and metrization of matric-space

J. von Neumann · 1937

Earlier work this paper cites.

A Convexity Theorem for Certain Groups of Transformations

Isidore Isaac Hirschman · 1953

Earlier work this paper cites.

Lower Bounds for the Helmholtz Function

Sidney Golden · 1965

Earlier work this paper cites.

Inequality with Applications in Statistical Mechanics

Colin J. Thompson · 1965

Earlier work this paper cites.

Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture

Elliott H. Lieb · 1973

Earlier work this paper cites.

Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities

Elliott H. Lieb and Walter E. Thirring · 1976

Earlier work this paper cites.

Majorization, Doubly Stochastic Matrices, and Comparison of Eigenvalues

Tsuyoshi Ando · 1989

Cited alongside, same era.

On an inequality of Lieb and Thirring

Huzihiro Araki · 1990

Cited alongside, same era.

Majorizations and inequalities in matrix theory

Tsuyoshi Ando · 1994

Cited alongside, same era.

Log majorization and complementary Golden-Thompson type inequalities

Tsuyoshi Ando and Fumio Hiai · 1994

Cited alongside, same era.

Matrix Analysis

Rajendra Bhatia · 1997

Cited alongside, same era.

Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization

Fumio Hiai · 2010

Cited alongside, same era.

Inequalities: Theory of Majorization and Its Applications

Albert W. Marshall, Ingram Olkin, and Barry C. Arnold · 2011

Later among the works it cites.

Introduction to Matrix Analysis and Applications

Fumio Hiai and Dénes Petz · 2014

Later among the works it cites.

Anti-norms on finite von Neumann algebras

Jean-Christophe Bourin and Fumio Hiai · 2015

Later among the works it cites.

Quantum Conditional Mutual Information and Approximate Markov Chains

Omar Fawzi and Renato Renner · 2015

Later among the works it cites.

Universal recovery from a decrease of quantum relative entropy, 2016

Original

Marius Junge, Renato Renner, David Sutter, Mark M. Wilde, and Andreas Winter · 2016

Closest in time.

Multivariate trace inequalities

David Sutter, Mario Berta, and Marco Tomamichel · 2016