Invariants in abstract mapping pairs
2004 ◽
Vol 76
(3)
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pp. 369-382
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Keyword(s):
AbstractIn a topological vector space, duality invariant is a very important property, some famous theorems, such as the Mackey-Arens theorem, the Mackey theorem, the Mazur theorem and the Orlicz-Pettis theorem, all show some duality invariants.In this paper we would like to show an important improvement of the invariant results, which are related to sequential evaluation convergence of function series. Especially, a very general invariant result is established for an abstract mapping pair (Φ, B(Φ, X)) consisting of a nonempty set Φ and B(Φ, X) = {f ∈ XΦ: f (Φ) is bounded}, where X is a locally convex space.
2012 ◽
Vol 49
(3)
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pp. 315-325
Keyword(s):
1987 ◽
Vol 43
(2)
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pp. 224-230
2015 ◽
Vol 19
(1)
◽
pp. 62-68
Keyword(s):
1979 ◽
Vol 22
(1)
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pp. 35-41
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Keyword(s):
2011 ◽
Vol 49
(1)
◽
pp. 89-98
Keyword(s):
1969 ◽
Vol 65
(3)
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pp. 601-611
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Keyword(s):
1977 ◽
Vol 24
(2)
◽
pp. 245-251
Keyword(s):
1973 ◽
Vol 74
(1)
◽
pp. 49-59
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2014 ◽
Vol 14
(2)
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pp. 109-116
Keyword(s):
1979 ◽
Vol 28
(1)
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pp. 23-26
Keyword(s):