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arXiv · 2203.00378

Unbounded generalization of the Baker-Campbell-Hausdorff formulae

Yoritaka Iwata
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Abstract

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.

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Yoritaka Iwata. 2022-03-01. Unbounded generalization of the Baker-Campbell-Hausdorff formulae. https://doi.org/10.1002/mma.70677

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