Un teorema de compleción para espacios de sucesiones generalizadas

Abstract

In this paper it is shown a completion theorem of spaces of generalized sequences Λ{E} introduced by A Pietsch and R. C. Rosier where Λ is a perfect space of sequences and E a locally convex space. The space Λ{E} is topologized using the topology of E and a certain collection M of bounted subset of the dual space Λx of Λ.