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Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode. (German) Zbl 0389.46026

46E40Spaces of vector- and operator-valued functions
46M05Tensor products of topological linear spaces
46A13Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11Spaces determined by compactness or summability properties
46A30Open mapping and closed graph theorems; completeness
46A20Duality theory of topological linear spaces
46A22Theorems of Hahn-Banach type; extension and lifting of functionals and operators
46F05Topological linear spaces of test functions, distributions and ultradistributions
Full Text: DOI EuDML
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[2] Bierstedt, K.D., Gramsch, B., Meise, R.: Approximationseigenschaft, Lifting und Kohomologie für lokalkonvexe Produktgarben. Manuscripta math.19, 319-364 (1976) · Zbl 0335.46019 · doi:10.1007/BF01278923
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[8] Gramsch, B.: Über eine Fortsetzungsmethode der Dualitätstheorie lokalkonvexer Räume. Ausarbeitung, Kaiserslautern WS 75/76 · Zbl 0389.46026
[9] Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Amer. math. Soc. Mem. 16 (1955)
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[15] Komatsu, H.: Ultradistributions, I. Structure theorems and a characterization. J. Fac. Sci., Univ. Tokyo, Sect. I A20, 25-105 (1973) · Zbl 0258.46039
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[18] Nachbin, L.: On vector valued versus scalar valued holomorphic continuation. Indagationes Math.35, 352-354 (1973) · Zbl 0271.46018 · doi:10.1016/1385-7258(73)90032-2
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[20] Schaefer, H.H.: Topological vector spaces. New York: McMillan 1966 · Zbl 0141.30503
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[22] Tillmann, H.G.: Eine Erweiterung des Funktionalkalküls für lineare Operatoren. Math. Ann.151, 424-430 (1963) · Zbl 0121.33404 · doi:10.1007/BF01439452
[23] Vogt, D.: Tensorprodukte von (F)- mit (DF)-Räumen und ein Fortsetzungssatz. Preprint Wuppertal 1975
[24] Waelbroeck, L.: Weak analytic functions and the closed graph theorem. In: Proceedings on infinite dimensional holomorphy (Kentucky 1973), pp. 97-100. Lecture Notes in Mathematics364. Berlin-Heidelberg-New York: Springer 1974
[25] Gramsch, B., Wagner, R.: Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen. Manuscripta math.21, 25-42 (1977) · Zbl 0355.46022 · doi:10.1007/BF01176899
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