The largest family of subsets satisfying sequential-evaluation convergence
2012 ◽
Vol 49
(3)
◽
pp. 315-325
Keyword(s):
Suppose X is a locally convex space, Y is a topological vector space and λ(X)βY is the β-dual of some X valued sequence space λ(X). When λ(X) is c0(X) or l∞(X), we have found the largest M ⊂ 2λ(X) for which (Aj) ∈ λ(X)βY if and only if Σ j=1∞Aj(xj) converges uniformly with respect to (xj) in any M ∈ M. Also, a remark is given when λ(X) is lp(X) for 0 < p < + ∞.
2004 ◽
Vol 76
(3)
◽
pp. 369-382
◽
1987 ◽
Vol 43
(2)
◽
pp. 224-230
2015 ◽
Vol 19
(1)
◽
pp. 62-68
Keyword(s):
1986 ◽
Vol 100
(1)
◽
pp. 151-159
◽
Keyword(s):
1979 ◽
Vol 22
(1)
◽
pp. 35-41
◽
Keyword(s):
1971 ◽
Vol 23
(6)
◽
pp. 1040-1050
◽
2011 ◽
Vol 49
(1)
◽
pp. 89-98
Keyword(s):
1969 ◽
Vol 65
(3)
◽
pp. 601-611
◽
Keyword(s):
1977 ◽
Vol 24
(2)
◽
pp. 245-251
Keyword(s):
1973 ◽
Vol 74
(1)
◽
pp. 49-59
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