巴拿赫空间中的几何常数和正交性

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2023-09-11 DOI:10.47443/cm.2023.045

Yin Zhou, Qichuan Ni, Qi Liu, Yongjin Li

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Geometric constants and orthogonality in Banach spaces

Based on the parallelogram law and orthogonality, we deﬁne a new geometric constant and obtain some of its geometric properties. This constant provides a useful tool for estimating the exact values of Jordan-von Neumann constants in Banach spaces and for studying the orthogonality. In addition, we consider Pythagorean orthogonality and introduce another new constant to investigate a connection between Pythagorean orthogonality and isosceles orthogonality

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来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.