Unbounded generalization of the Baker-Campbell-Hausdorff formulae

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1. Verfasser: Iwata, Yoritaka
Format: Preprint
Veröffentlicht: 2022
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author Iwata, Yoritaka
author_facet Iwata, Yoritaka
contents Based on the operator representation on the module over Banach algebra $B(X)$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2203_00378
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Unbounded generalization of the Baker-Campbell-Hausdorff formulae
Iwata, Yoritaka
Functional Analysis
Mathematical Physics
47D60, 46N20
Based on the operator representation on the module over Banach algebra $B(X)$, 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.
title Unbounded generalization of the Baker-Campbell-Hausdorff formulae
topic Functional Analysis
Mathematical Physics
47D60, 46N20
url https://arxiv.org/abs/2203.00378