Local completeness and dual local quasi-completeness

Authors
Qiu, JH
Citation
Jh. Qiu, Local completeness and dual local quasi-completeness, P AM MATH S, 129(5), 2001, pp. 1419-1425
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
5
Year of publication
2001
Pages
1419 - 1425
Database
ISI
SICI code
0002-9939(2001)129:5<1419:LCADLQ>2.0.ZU;2-L
Abstract
It is proved that l(q)-completeness (1 < q< infinity) is equivalent to l(1) -completeness (defined by Saxon and Sanchez Ruiz), and becomes a new charac teristic condition for local completeness. The relationship between dual lo cal completeness, dual local quasi-completeness and the Banach-Mackey prope rty is investigated. For a quasi-Mackey space, dual local quasi-completenes s, c(o)-quasi-barrelledness, Ruess' property (quasi-L) and C-quasi-barrelle dness are equivalent to each other.