Banach Space of Absolute Summable Real Sequences
Banach Space of Absolute Summable Real Sequences
复制标题
绝对可和实序列的 Banach 空间
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Y. Shidama
中科院分区：
文献类型：
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作者：
Yasumasa Suzuki;N. Endou;Y. Shidama
真实的序列的线性空间的l1-真实的序列的集合的子集由条件（定义1）定义。(Def. 1）设x是一个集合。则x ∈ l1-真实的序列集当且仅当x ∈真实的序列集且idseq（x）绝对可和。让我们观察l1-真实的序列的集合是非空的。可以证明以下两个命题：（1）l ~ 1-真实的序列集是线性闭的。(2)求l1-真实的序列的集合，Zero（l1-真实的序列的集合，真实的序列的线性空间），Add（l1-真实的序列的集合，线性空间
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