Isometric Embeddability of Schatten Classes Revisited
Functional Analysis
2026-05-04 v2 Spectral Theory
Abstract
In this note, we summarize known results and open questions on the existence of isometric embeddings between different Schatten classes as well as obtain a new non-embeddability result using a novel method. We also provide a brief overview of the relevant methods.
Keywords
Cite
@article{arxiv.2603.07359,
title = {Isometric Embeddability of Schatten Classes Revisited},
author = {Arup Chattopadhyay and Chandan Pradhan and Anna Skripka},
journal= {arXiv preprint arXiv:2603.07359},
year = {2026}
}
Comments
Improve presentation and fixed typos