Banach Space of Absolute Summable Real Sequences
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چکیده
The subset the set of l1-real sequences of the linear space of real sequences is defined by the condition (Def. 1). (Def. 1) Let x be a set. Then x ∈ the set of l1-real sequences if and only if x ∈ the set of real sequences and idseq(x) is absolutely summable. Let us observe that the set of l1-real sequences is non empty. One can prove the following two propositions: (1) The set of l1-real sequences is linearly closed. (2) 〈the set of l1-real sequences,Zero (the set of l1-real sequences, the linear space of real sequences),Add (the set of l1-real sequences, the linear space
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تاریخ انتشار 2004