On Some Spaces of Summable Sequences and Their Duals Geraldo
نویسندگان
چکیده
Suppose that S is the space of all summable sequences a wlth lla’S n>oSUp ajJl and J the space of all sequences 6 of bounded variation aJBl S "a"SllSl’J this inequality leads to e description of e dual space of S as J. It, related Inequalities, and their consequences are the content of this paper, In parttcular the Inequality cited above leads directly to the Stolz form of Abel’s theorem and provides a very simple argument. Also, some other sequence spaces are discussed.
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