Problems and Conjectures in Matrix and Operator Inequalities

Abstract

We present a treasure trove of open problems in matrix and operator inequalities, of a functional analytic nature, and with various degrees of hardness.

18 pages; v2: omission of first author's name rectified; v3: section 2 amended on the basis of recent results

References in corpus (3)

• Upper bounds on entangling rates of bipartite Hamiltonians
• On the Araki-Lieb-Thirring inequality
• Trace inequalities for completely monotone functions and Bernstein functions

Cited by in corpus (2)

• A generalisation of Mirsky's singular value inequalities
• Dynamical Deformation of Toroidal Matrix Varieties