Planes in Schatten-$3$
Functional Analysis
2022-07-27 v1
Abstract
We prove that any two-dimensional real subspace of Schatten-3 can be linearly isometrically embedded into . This resolves the case of Hanner's inequality for Schatten classes, conjectured by Ball, Carlen and Lieb. We conjecture that similar isometric embedding is possible for any .
Keywords
Cite
@article{arxiv.2207.12812,
title = {Planes in Schatten-$3$},
author = {Otte Heinävaara},
journal= {arXiv preprint arXiv:2207.12812},
year = {2022}
}
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13 pages