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arXiv · 2505.17628

The skew generalized von Neumann-Jordan type constant in Banach spaces

Yuxin Wang·Qi Liu·Yueyue Feng·Jinyu Xia·Muhammad Sarfraz
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Abstract

Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp({\lambda},\mu,X) based on C(X) constant is given in this paper. First, we will obtain some basic properties of this new constant. Moreover, some relations between this new constant and other constants are investigated. Specially, with the Banach-Mazur distance, we use this new constant to study isomorphic Banach spaces. Ultimately, by leveraging the connection between the newly introduced constant and the weak orthogonality coefficient {\omega}(X), a sufficient condition for normal structure is established.

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Yuxin Wang, Qi Liu, Yueyue Feng, Jinyu Xia, Muhammad Sarfraz. 2025-05-23. The skew generalized von Neumann-Jordan type constant in Banach spaces. https://arxiv.org/abs/2505.17628

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