Principle of local reflexivity for operators and quojections
The principle of local reflexivity for linear operators between Banach spaces is proved. Then it is applied in order to obtain the principle for locally convex (especially Fréchet) spaces X whenever X is a quojection. A special dual form of the principle for strict LB-spaces is also obtained. The results of the paper are applied in order to generalize the theory of \({\mathcal L}_ p\)-spaces to the classes of Fréchet and strict LB-spaces in the author's paper: ``\({\mathcal L}_ p\)- and injective locally convex spaces'', Dissertationes Math., to appear.
principle of local reflexivity for linear operators between Banach spaces
scientific article; zbMATH DE number 4101853
scientific article