Some results on the duals of the inductive and projective limits of Moscatelli type.
Yolanda Meléndez (1992)
Extracta Mathematicae
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Displaying similar documents to “Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.”
Some results on the duals of the inductive and projective limits of Moscatelli type.
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Strong duals of projective limits of (LB)-spaces
J. Bonet, Susanne Dierolf, J. Wengenroth (2002)
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We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit...
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