Unbounded generalization of the Baker-Campbell-Hausdorff formulae
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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