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

2025/09/27 by Hu, Tingting, Liu, Qi, Bao, Mengmeng +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2509.23319

Abstract

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.

Citations

• How orthogonality influences geometric constants
• On some generalized geometric constants with two parameters in Banach spaces
• Symmetric form geometric constant related to isosceles orthogonality in Banach spaces

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