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

2021/10/29 by Wang, Yuxin, Liu, Qi, Li, Qian +4
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2110.15741

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.

Related

• A generalization of the (α,β,γ) von Neumann-Jordan type constant in Banach spaces
• New geometric constants of isosceles orthogonal type
• Symmetric form geometric constant related to isosceles orthogonality in Banach spaces
• On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
• New Geometric Constant Related to the P-angle Function in Banach Spaces