论巴纳赫对 $ (l_{1},c_{0}) 的绝对卡尔德龙元素的 $ K $ 函数

Pub Date : 2024-03-25 DOI:10.1134/s0037446624020046

V. I. Dmitriev, E. V. Zhuravleva, O. Yu. Mikhailova, I. N. Burilich

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引用次数: 0

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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