Köthe Dual of Some Vector-valued Sequence Spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.4992

Mohamed Ahmed Sidaty

引用次数: 0

Abstract

We study some properties of the spaces λ(E) of weakly λ-summable sequences and λ⟨E⟩ of strongly λ-summable sequences of a locally convex space E. For example, after proving results on bounded sets of these spaces, we express the elements of their K öthe duals in terms of sequences in the continuous dual E′ of E, then we prove that these spaces possess the AK property if and only if the K ̈othe dual coincides with the continuous dual.

查看原文本刊更多论文

一些矢量值序列空间的柯赛对偶

我们研究局部凸空间 E 的弱λ可求和序列空间 λ(E) 和强λ可求和序列空间 λ⟨E⟩ 的一些性质。例如，在证明了这些空间的有界集的结果之后，我们用 E 的连续对偶 E′中的序列来表达它们的 K öthe 对偶的元素，然后我们证明，当且仅当 K ̈othe 对偶与连续对偶重合时，这些空间才具有 AK 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。

求助全文

约1分钟内获得全文求助全文

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.