International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2002 / Article

Open Access

Volume 31 |Article ID 861480 | https://doi.org/10.1155/S0161171202109033

C. Bosch, T. Gilsdorf, C. Gómez, R. Vera, "Local completeness of p(E), 1p<", International Journal of Mathematics and Mathematical Sciences, vol. 31, Article ID 861480, 7 pages, 2002. https://doi.org/10.1155/S0161171202109033

Local completeness of p(E), 1p<

Received10 Sep 2001
Revised26 Feb 2002

Abstract

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, p(E) for 1p<.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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