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

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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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.

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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。
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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