International Journal of Mathematics and Mathematical Sciences (Jan 2002)

Local completeness of ℓp(E), 1≤p<∞

  • C. Bosch,
  • T. Gilsdorf,
  • C. Gómez,
  • R. Vera

DOI
https://doi.org/10.1155/S0161171202109033
Journal volume & issue
Vol. 31, no. 11
pp. 651 – 657

Abstract

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We study the heredity of local completeness and the strict Mackey convergence property from the locally convex space E to the space of absolutely p-summable sequences on E, ℓp(E) for 1≤p<∞.