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PreprintCC BY 4.0arXiv

Real-analytic functional calculus and strictly real Banach algebras

  • Oleg Aristov
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Abstract

We use real-analytic functional calculus to show that the envelope of the algebra of m-variable polynomials with real coefficients, with respect to the class of strictly real Banach algebras, is isomorphic to the algebra of real-valued analytic functions on ℝm.

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Cite

BibTeXRIS
BibTeX
@misc{aristov2026realanalytic,
  title = {{Real-analytic functional calculus and strictly real Banach algebras}},
  author = {Oleg Aristov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04758},
  eprint = {2611.04758},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04758},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Real-analytic functional calculus and strictly real Banach algebras
AU  - Oleg Aristov
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04758
UR  - https://arxiv.org/abs/2611.04758
AB  - We use real-analytic functional calculus to show that the envelope of the algebra of m-variable polynomials with real coefficients, with respect to the class of strictly real Banach algebras, is isomorphic to the algebra of real-valued analytic functions on ℝ^m.
ER  -