Dual characterization of the Dieudonne-Schwartz theorem on bounded sets

C. Bosch, J. Kucera and K. McKennon

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-4

Abstract:

The Dieudonné-Schwartz Theorem on bounded sets in a strict inductive limit is investigated for non-strict inductive limits. Its validity is shown to be closely connected with the problem of whether the projective limit of the strong duals is a strong dual itself. A counter-example is given to show that the Dieudonné-Schwartz Theorem is not in general valid for an inductive limit of a sequence of reflexive, Fréchet spaces.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:305453

DOI: 10.1155/S0161171283000174

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