International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 675-679
doi:10.1155/S0161171200002209
Banach-Mackey, locally complete spaces, and ℓp,q-summability
1Departmento de Matemáticas, ITAM, Rio Hondo #1, D. F., México 01000, Mexico
2Instituto de Matemáticas, Zona de la Investigacion Científica, Circuito Exterior, Ciudad Universitaria, D. F., México 04510, Mexico
Received 7 December 1998
Copyright © 2000 Carlos Bosch and Armando García. 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.
Abstract
We defined the ℓp,q-summability property and study the
relations between the ℓp,q-summability property,
the Banach-Mackey spaces and the locally complete spaces.
We prove that, for c0-quasibarrelled spaces, Banach-Mackey and
locally complete are equivalent. Last section is devoted to the
study of CS-closed sets introduced by Jameson and Kakol.