标题： 关于与巴拿赫空间中等腰正交相关的等价Zbǎganu常数 显示英文标题

标题： On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces

摘要： 本文系统地研究了与巴拿赫空间中等腰正交相关的新的几何常数。 通过建立该新常数与经典函数之间的联系，得到了该常数的精确上下界。 具体而言，当新常数达到其下界时，空间恰好为希尔伯特空间；在有限维空间中，若新常数达到其上界，则意味着该空间不具有均匀非正方形性。 显示英文摘要

摘要： This paper systematically investigates a new geometric constant associated with isosceles orthogonality in Banach spaces. By establishing the connection between this new constant and a classical function, sharp upper and lower bounds for the constant are derived. Specifically, the space is exactly a Hilbert space when the new constant reaches its lower bound; in finite-dimensional spaces, if the new constant attains its upper bound, it implies that the space does not possess uniform non-squareness.