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PreprintCC BY-NC-ND 4.0arXiv

The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization

  • Gerardo M. Escolano
Open at sourcePDFDOICite

Abstract

Let J be a JB*-algebra with no quotients isomorphic to any spin factor. Let μ be a local quasi-linear Jordan functional on Jsa. We show that μ is a linear functional on Jsa if and only if the restriction of μ to the closed unit ball of Jsa is uniformly weakly continuous.

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Cite

BibTeXRIS
BibTeX
@misc{escolano2026quasilinearity,
  title = {{The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization}},
  author = {Gerardo M. Escolano},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.06120},
  eprint = {2605.06120},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.06120},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization
AU  - Gerardo M. Escolano
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2605.06120
UR  - https://arxiv.org/abs/2605.06120
AB  - Let J be a JB^*-algebra with no quotients isomorphic to any spin factor. Let μ be a local quasi-linear Jordan functional on J_sa. We show that μ is a linear functional on J_sa if and only if the restriction of μ to the closed unit ball of J_sa is uniformly weakly continuous.
ER  -