Series that converge on sets of null density
Authors: R. Estrada and R. P. Kanwal
Journal: Proc. Amer. Math. Soc. 97 (1986), 682-686
MSC: Primary 40A05; Secondary 46A45
MathSciNet review: 845987
Abstract: It is shown that a series of positive terms that converges on all sets of null density should be convergent. Using this result we construct examples of complete topological vector spaces that are proper subspaces of a Banach space, but whose dual spaces coincide with the dual space of the Banach space.
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