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Integrability Criteria for Banach-Lie Algebras by Alberto Salguero is a document available to read on EtoBox.
This paper presents two criteria for determining when representations of Banach-Lie algebras can be integrated into skew-symmetric unbounded operators on a dense domain of a Hilbert space. The first criterion is based on a commutation relation involving the exponential of elements in the Banach-Lie algebra decomposition. The second criterion slightly relaxes the assumptions of the first by employing analytic vectors. The paper proves the criteria by first showing the assumptions of the second imply those of
- Author
- Alberto Salguero
- Language
- EN