Variations of the James and Schäffer constants in Banach spaces

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2023-12-05 DOI:10.1007/s43034-023-00308-7

Horst Martini, Pier Luigi Papini, Senlin Wu

引用次数: 0

Abstract

We study two constants \(g_1(X)\) and \(J_1(X)\) introduced by Fu et al. (Symmetry 13(6):951, 2021), present new characterizations of them, clarify detailed relations of these constants to James and Schäffer constants as well as the relation between \(J_1(X)\) and \(A_2(X)\) defined by Baronti et al. (J Math Anal Appl 252(1):124–146, 2000). We also pose several problems.

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巴拿赫空间中詹姆斯常数和Schäffer常数的变化

本文研究了Fu et al. (Symmetry 13(6):951, 2021)引入的两个常数\(g_1(X)\)和\(J_1(X)\)，给出了它们的新的表征，阐明了这些常数与James和Schäffer常数的详细关系，以及Baronti et al. (J Math Anal应用，252(1):124-146,2000)定义的\(J_1(X)\)和\(A_2(X)\)之间的关系。我们也提出了一些问题。

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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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.