Geometric constant for quantifying the difference between angular and skew angular distances in Banach spaces

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-04-05 DOI:10.1007/s43034-024-00341-0

Yuankang Fu, Yongjin Li

引用次数: 0

Abstract

This article is devoted to introduce a new geometric constant called Dehghan–Rooin constant, which quantifies the difference between angular and skew angular distances in Banach spaces. We quantify the characterization of uniform non-squareness in terms of Dehghan–Rooin constant. The relationships between Dehghan–Rooin constant and uniform convexity, Dehghan-Rooin constant and uniform smoothness are also studied. Moreover, some new sufficient conditions for uniform normal structure are also established in terms of Dehghan–Rooin constant.

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量化巴拿赫空间中角距和斜角距差异的几何常数

本文致力于介绍一个新的几何常数，即 Dehghan-Rooin 常数，它量化了巴拿赫空间中角距离和斜角距离之间的差异。我们用 Dehghan-Rooin 常数量化了均匀非平方性的特征。我们还研究了 Dehghan-Rooin 常数与均匀凸性、Dehghan-Rooin 常数与均匀平滑性之间的关系。此外，还根据 Dehghan-Rooin 常数建立了均匀法向结构的一些新的充分条件。

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.