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On Weak Compactness in l
1
(X
n
)
Key Words
:
l
p
(X
n
)
uniformly summable
weak compactness.
Fund Project
:
Author Name
Affiliation
Lin Guihua
Dept. of Appl. Math.
Dalian University of Technology
116024
Hits
:
2072
Download times
:
2629
Abstract
:
In this paper, we first discuss weak convergence in l
1
(X
n
), and then give several characterizations of weak compactness in l
1
(X
n
). Moreover, we obtain some similar results in l
p
(X
n
)（１＜ｐ＜∞）.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1998.03.013
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Copyright © Journal of Mathematical Research with Applications
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