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
Carlos Bosch1
and Armando García2
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
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.