Unbounded generalization of the Baker-Campbell-Hausdorff formulae
Yoritaka Iwata
TL;DR
This paper extends the Baker-Campbell-Hausdorff formula to unbounded operators using operator representation on modules over Banach algebras, broadening its applicability.
Contribution
It introduces a generalized version of the BCH formula for unbounded operators via logarithmic representation in Banach algebra modules.
Findings
BCH formula generalized to unbounded operators
Uses operator representation on modules over Banach algebras
Applicable to a wider class of operators
Abstract
Based on the operator representation on the module over Banach algebra , 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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