V. I. Dmitriev, E. V. Zhuravleva, O. Yu. Mikhailova, I. N. Burilich
{"title":"On the $ K $ -functionals of Absolutely Calderón Elements of the Banach Pair $ (l_{1},c_{0}) $","authors":"V. I. Dmitriev, E. V. Zhuravleva, O. Yu. Mikhailova, I. N. Burilich","doi":"10.1134/s0037446624020046","DOIUrl":null,"url":null,"abstract":"<p>We characterize the absolutely Calderón elements\nof the canonical pair <span>\\( (l_{1},c_{0}) \\)</span> of sequence spaces in terms of the Peetre\n<span>\\( K \\)</span>-functional. This result has been known to the first\nauthor since rather long ago but the proof appears here.\nAlso, we formulate a few unsolved problems.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.