An invariant theorem in duality
2010 ◽
Vol 47
(3)
◽
pp. 299-310
Keyword(s):
The concept of absolute convergence for series is generalized to locally convex spaces and an invariant theorem for absolutely convergent series in duality is established: when a locally convex space X is weakly sequentially complete, an admissible topology which is strictly stronger than the weak topology on X in the dual pair ( X,X′ ) is given such that it has the same absolutely convergent series as the weak topology in X .
2002 ◽
Vol 15
(2)
◽
pp. 91-103
Keyword(s):
1967 ◽
Vol 15
(4)
◽
pp. 295-296
◽
Keyword(s):
1980 ◽
Vol 88
(2)
◽
pp. 331-337
◽
Keyword(s):
1985 ◽
Vol 31
(3)
◽
pp. 451-462
Keyword(s):
1983 ◽
Vol 27
(2)
◽
pp. 269-283
2020 ◽
pp. 2050027
Keyword(s):
2014 ◽
Vol 57
(4)
◽
pp. 803-809
◽
Keyword(s):