12 papers
Skew-Parameterized Geometric Constants in Banach Spaces
Qing Du, Wenwen Zhang, Zhiyao Fang +1
Building on the family of geometric constants introduced by Amini-Harandi and Rahimi, we define a skew-parameterized family on real normed spaces by replacing the classical symmetr…
A generalization of the von Neumann-Jordan type constant in Banach spaces
Shuoyi Wan, Pingru Duan, Zhiyao Fang +2
In this paper,motivated by the pioneering work of Moslehian and Rassias, we introduce a novel generalized von Neumann-Jordan type constant in Banach spaces, a constant that notably…
On the equivalent ZbÇganu constant associated with isosceles orthogonality in Banach spaces
Tingting Hu, Qi Liu, Mengmeng Bao +1
This paper systematically investigates a new geometric constant associated with isosceles orthogonality in Banach spaces. By establishing the connection between this new constant a…
How orthogonality influences geometric constants
Yuxin Wang, Qi Liu, Mengmeng Bao
In this paper, based on isosceles orthogonality, we have found equivalent definitions for four constants: proposed by Baronti in 2000 [J. Math. Anal. Appl. 252(2000), 124-…
Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
Haoyu Zhou, Qi Liu, Yuxin Wang +2
This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently,…
On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
Yuxin Wang, Qi Liu, Yongmo Hu +2
In this paper, we define a new geometric constant based on isosceles orthogonality, denoted by . Through research, we find that this constant is the equivalent p-th von Neumann Jor…