On Saphar’s Approximation Property of Order p and the $$w_p$$ -Approximation Property

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-09 DOI:10.1007/s00009-024-02725-x

Ju Myung Kim

引用次数: 0

Abstract

We characterize Saphar’s approximation property of order p in terms of a density of finite rank operators in the space of absolutely p-summing operators. We also study the approximation property of the tensor norm associated with the ideal of p-dominated operators.

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关于 p 阶的萨法尔近似性质和 $$w_p$$ - 近似性质

我们用绝对 p 和算子空间中有限秩算子的密度来描述萨法尔的 p 阶近似性质。我们还研究了与 p 主导算子理想相关的张量规范的近似性质。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.