English

Novel constants based on the generalization of Von Neumann-Jordan constant

Functional Analysis 2025-08-18 v2

Abstract

We introduce a new geometric constant based on a generalization of the parallelogram law, and study its properties as well as some relationships with other well-known geometric constants. A sufficient condition for normal structure is presented. Next, we introduce a constant and calculate its value in a specific space. Furthermore, we introduce another new constant and investigate some of its basic properties.

Keywords

Cite

@article{arxiv.2110.15741,
  title  = {Novel constants based on the generalization of Von Neumann-Jordan constant},
  author = {Yuxin Wang and Qi Liu and Qian Li and Qichuan Ni and Zhijian Yang and Muhammad Sarfraz and Yongjin Li},
  journal= {arXiv preprint arXiv:2110.15741},
  year   = {2025}
}