The dual of the sequence spaces with mixed norms \(l^{(p, \infty )}\)

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-02-25 DOI:10.1007/s40065-023-00421-4

J. Lang, O. Méndez

引用次数: 0

Abstract

We identify a norm-dense subspace of the dual of the sequence space \(l^{(p,\infty )}\), thus closing the existing gap in the literature. We based our approach on the notion of James orthogonality, absolutely continuous norms and on the uniform convexity and the uniform smoothness of the underlying subspaces.

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具有混合范数的序列空间的对偶\（l^｛（p，\infty）｝\）

我们确定了序列空间\（l^{（p，\infty）}\）对偶的范数稠密子空间，从而填补了文献中存在的空白。我们的方法基于James正交性、绝对连续范数以及底层子空间的一致凸性和一致光滑性的概念。

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

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.