English

Unbounded generalization of the Baker-Campbell-Hausdorff formulae

Functional Analysis 2026-04-10 v2 Mathematical Physics math.MP

Abstract

Based on the operator representation on the module over Banach algebra B(X)B(X), the Campbell-Baker-Hausdorff formula is generalized to the unbounded situations. In conclusion, by means of the logarithmic representation of generally-unbounded operators, the Campbell-Baker-Hausdorff formula is generalized to be applicable to the unbounded operators.

Keywords

Cite

@article{arxiv.2203.00378,
  title  = {Unbounded generalization of the Baker-Campbell-Hausdorff formulae},
  author = {Yoritaka Iwata},
  journal= {arXiv preprint arXiv:2203.00378},
  year   = {2026}
}