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On extending and lifting continuous linear mappings in topological vector spaces. (English) Zbl 0398.46007


MSC:

46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
46A04 Locally convex Fréchet spaces and (DF)-spaces
46A13 Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
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