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Die Automorphismen und die Invarianzgruppe der Algebra der konvergenten Potenzreihen eines Banachraumes. (German) Zbl 0396.46018


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
46G05 Derivatives of functions in infinite-dimensional spaces
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References:

[1] Bourbaki, N.: Variétés différentielles et analytiques. Paris: Hermann 1971
[2] Grabowski, J.: Isomorphisms and ideals of the Lie-algebras of vector fields. Invent. Math.50, 13-33 (1978) · Zbl 0387.57009 · doi:10.1007/BF01406466
[3] Heinze, J.: Über die rechts-symmetrische Algebra und die Lie-Algebra der konvergenten Potenzreihen eines Banachraumes. Schr. Math. Inst. Univ. Münster 2. Serie16 (1979) · Zbl 0404.46027
[4] Koecher, M.: Rechts-symmetrische Algebren. Unveröffentlichtes Manuskript (1975) · Zbl 0317.17004
[5] Koecher, M.: Über Abbildungen, die Lösungen von gewissen gewöhnlichen Differentialgleichungen erhalten. Unveröffentlichtes Manuskript (1974)
[6] Nachbin, L.: Topology on spaces of holomorphic mappings. Berlin, Heidelberg, New York: Springer 1969 · Zbl 0172.39902
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