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Completely symmetric subspaces of noncommutative Lp-spaces
Abstract
Let 2<p<∞. We prove that every infinite-dimensional closed subspace F of a noncommutative Lp-space contains a subspace completely isomorphic to ℓp, Cp, Rp, or Cp∩ Rp and completely complemented in F. This answers the question of Junge and Xu on the existence of completely symmetric basic sequences.
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BibTeX
@misc{huang2026completely,
title = {{Completely symmetric subspaces of noncommutative $L_p$-spaces}},
author = {Jinghao Huang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18041},
eprint = {2610.18041},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18041},
}
RIS
TY - UNPB
TI - Completely symmetric subspaces of noncommutative L_p-spaces
AU - Jinghao Huang
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.18041
UR - https://arxiv.org/abs/2610.18041
AB - Let 2<p<∞. We prove that every infinite-dimensional closed subspace F of a noncommutative L_p-space contains a subspace completely isomorphic to ℓ_p, C_p, R_p, or C_p∩ R_p and completely complemented in F. This answers the question of Junge and Xu on the existence of completely symmetric basic sequences.
ER -