发表机构
School of Mathematics and Statistics, Anqing Normal University（安庆师范大学数学与统计学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文引入斜 Schäffer 型常数，建立其几何理论，刻画均匀非方性，并在 Hilbert 与 Lebesgue 空间求得精确值，进而导出均匀正规结构的充分条件。
AI 中文摘要
我们引入了斜 Schäffer 型常数，作为近期发展的斜 James 型常数（见文献 \u003cRaoWuLiuNiWang\u003e）的下确界对应物，并在 Banach 空间中建立了其基本几何理论。该新常数具有尖锐的普适界，并通过严格间隙条件刻画了均匀非方性。在 Hilbert 空间和 Lebesgue 空间中获得了精确值，并建立了与斜 James 型常数的精确关系。我们进一步推导了 James 模估计，从而给出了均匀正规结构的充分条件。
英文摘要
We introduce the skew Schäffer type constant as an infimal counterpart of the recently developed skew James type constant \cite{RaoWuLiuNiWang} and establish its basic geometric theory in Banach spaces. The new constant admits sharp universal bounds and characterizes uniform nonsquareness through a strict gap condition. Exact values are obtained in Hilbert and Lebesgue spaces, where an exact relation with the skew James type constant is established. We further derive a James-modulus estimate leading to sufficient conditions for uniform normal structure.
