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Single commutators in Schatten ideals
Abstract
In this paper, we prove that every operator in the Schatten p-class (p>2) can be realized as a single commutator of operators in the Schatten 2p-class. This settles the Pearcy-Topping question for Schatten ideals. We also obtain simultaneous operator and Schatten norm bounds for the factors.
Related
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- Single commutators in C*-algebras
BibTeX
@misc{liu2026single,
title = {{Single commutators in Schatten ideals}},
author = {Zhichao Liu and Shanshan Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27024},
eprint = {2610.27024},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27024},
}
RIS
TY - UNPB
TI - Single commutators in Schatten ideals
AU - Zhichao Liu
AU - Shanshan Yang
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.27024
UR - https://arxiv.org/abs/2610.27024
AB - In this paper, we prove that every operator in the Schatten p-class (p>2) can be realized as a single commutator of operators in the Schatten 2p-class. This settles the Pearcy-Topping question for Schatten ideals. We also obtain simultaneous operator and Schatten norm bounds for the factors.
ER -