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PreprintarXiv licencearXiv

Schur tests and estimates for positive semigroups on non commutative Lp

  • Clément Coine
  • Mélina Laforge
  • Éric Ricard
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Abstract

We extend the recent results of Arnold on estimates for Kreiss positive semigroups on Lp-spaces to the non commutative setting, 1<p<∞. We also provide a sharp example. All the results are achieved thanks to the use of the Schur test, including a new version for von Neumann algebras.

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Cite

BibTeXRIS
BibTeX
@misc{coine2026schur,
  title = {{Schur tests and estimates for positive semigroups on non commutative $L_p$}},
  author = {Clément Coine and Mélina Laforge and Éric Ricard},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09339},
  eprint = {2609.09339},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09339},
}
RIS
TY  - UNPB
TI  - Schur tests and estimates for positive semigroups on non commutative L_p
AU  - Clément Coine
AU  - Mélina Laforge
AU  - Éric Ricard
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.09339
UR  - https://arxiv.org/abs/2609.09339
AB  - We extend the recent results of Arnold on estimates for Kreiss positive semigroups on L_p-spaces to the non commutative setting, 1<p<∞. We also provide a sharp example. All the results are achieved thanks to the use of the Schur test, including a new version for von Neumann algebras.
ER  -