Abstract

We prove that any two-dimensional real subspace of Schatten-3 can be linearly isometrically embedded into L3. This resolves the case p=3 of Hanner's inequality for Schatten classes, conjectured by Ball, Carlen and Lieb. We conjecture that similar isometric embedding is possible for any p≥1.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call