It is proved that for a Banach Lie algebra L the Baker Campbell Hausdorff series converges for any pair a, b # L if and only if for each c # L the adjoint operator ad c is quasi-nilpotent.
Baker-Campbell-Hausdorff relations for finite-dimensional lie algebras
✍ Scribed by Julián Echave; Francisco M. Fernández
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 483 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0259-9791
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