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PreprintarXiv licencearXiv

The Daugavet property in symmetric operator spaces

  • Jinghao Huang
  • Yerlan Nessipbayev
  • Fedor Sukochev
  • Ran Xu
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Abstract

Under mild assumptions, the main results of this paper characterize a (real or complex) symmetric operator space affiliated with a semi-finite atomless von Neumann algebra (ℳ, τ) possessing the Daugavet property as L1(ℳ,τ) or ℳ (up to equivalent norms, or even proportional norms). Our results are new even for complex symmetric function spaces, which extend results of \cite{AKM12, KMMW13, AKM15} concerning the Daugavet property for real symmetric function spaces.

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Cite

BibTeXRIS
BibTeX
@misc{huang2026daugavet,
  title = {{The Daugavet property in symmetric operator spaces}},
  author = {Jinghao Huang and Yerlan Nessipbayev and Fedor Sukochev and Ran Xu},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30491},
  eprint = {2608.30491},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30491},
}
RIS
TY  - UNPB
TI  - The Daugavet property in symmetric operator spaces
AU  - Jinghao Huang
AU  - Yerlan Nessipbayev
AU  - Fedor Sukochev
AU  - Ran Xu
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30491
UR  - https://arxiv.org/abs/2608.30491
AB  - Under mild assumptions, the main results of this paper characterize a (real or complex) symmetric operator space affiliated with a semi-finite atomless von Neumann algebra (ℳ, τ) possessing the Daugavet property as L_1(ℳ,τ) or ℳ (up to equivalent norms, or even proportional norms). Our results are new even for complex symmetric function spaces, which extend results of \cite{AKM12, KMMW13, AKM15} concerning the Daugavet property for real symmetric function spaces.
ER  -