Abstract
The paper concerns the so-called integration problem for the representation of a Lie algebra by operators (not necessarily bounded) acting in a Banach space. Some general assumptions have been admitted about resolvents of these operators.
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References
FlatoM., SimonJ., SnellmanH., and SternheimerD., ‘Simple Facts about Analytic Vectors and Integrability’, Ann. Scient. de l'Ecole Normale Supérieure, 4e serie, t. 5, fasc. 3, 423–434 (1972).
Kiryllov, A.A., Elementi Teorii Predstavlenii, 1972.
KisyńskiJ., ‘On the Integration of a Lie Algebra Representation in a Banach Space’, International Centre for Theoretical Physics, Internal Report, Triest, 1974.
Krejn, S.G., Liniejnyje differentialnyje uravnienia v Banachovom prostranstivie, 1967.
KrejnS.G. and SzichwatowA.M., ‘Lniejnyje differentialnyje uravnienia na gruppie Li’, Funckj. An. i jevo prilozenia, t. 4, fasc. 1, 52–61 (1970).
MooreT.R., ‘Exponentiation of Operator Lie Algebras on Banach Spaces’, Bull. Am. Math. Soc. 71, 903–908 (1965).
SimonJ., ‘On the Integrability of Representation of Finite-dimensional Real Lie Algebras’, Comm. Math. Phys. 28, 39–46 (1972).
TitsJ. and WaelbroeckL., ‘The Integration of a Lie Algebra Representation’, Pacific J. Math. 26, 595–600 (1968).
Yosida, K., Functional Analysis, 1968.
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Rusinek, J. The integrability of a Lie algebra representation. Lett Math Phys 2, 367–371 (1978). https://doi.org/10.1007/BF00400161
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DOI: https://doi.org/10.1007/BF00400161