发表机构
Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; School of Mathematical Sciences, University of Chinese Academy of Sciences(中国科学院数学与系统科学研究院; 中国科学院大学数学科学学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文利用算子值从属,在自由性假设下推导了双三角投影格生成的反射格上的2-范距离公式,并给出标量与自由投影情形的显式结果。
AI 中文摘要
利用算子值从属,我们在图系数的自由性假设下,推导了由投影的双三角格生成的反射格上2-范距离的公式,并在标量和自由投影两种情形下给出了显式求值。
英文摘要
Using operator-valued subordination, we derive a formula for the $2$-norm distance on reflexive lattices generated by double triangles of projections under freeness assumptions on their graph coefficients, and provide explicit evaluations in both the scalar and free-projection cases.