On the $ K $ -functionals of Absolutely Calderón Elements of the Banach Pair  $ (l_{1},c_{0}) $

IF 0.7 4区 数学 Q2 MATHEMATICS
V. I. Dmitriev, E. V. Zhuravleva, O. Yu. Mikhailova, I. N. Burilich
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引用次数: 0

Abstract

We characterize the absolutely Calderón elements of the canonical pair \( (l_{1},c_{0}) \) of sequence spaces in terms of the Peetre \( K \)-functional. This result has been known to the first author since rather long ago but the proof appears here. Also, we formulate a few unsolved problems.

论巴纳赫对 $ (l_{1},c_{0}) 的绝对卡尔德龙元素的 $ K $ 函数
我们用Peetre\( K \)函数描述了序列空间的典型对 \( (l_{1},c_{0}) 的绝对卡尔德隆元。这个结果第一作者很早就知道了,但在这里出现了证明。此外,我们还提出了几个未解决的问题。
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来源期刊
CiteScore
1.00
自引率
20.00%
发文量
88
审稿时长
4-8 weeks
期刊介绍: Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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