We present some fundamental results concerning to continuous quasi gyrolinear operators between Möbius gyrovector spaces induced by finite matrices. Such mappings are significant like as operators induced by matrices between finite dimensional Hilbert spaces. This gives a novel approach to the study of mappings between Möbius gyrovector spaces that should correspond to bounded linear operators on real Hilbert spaces.

中文翻译：

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有限矩阵引起的Möbius陀螺矢量空间之间的拟陀螺线性映射

我们提出一些关于有限矩阵所引起的Möbius陀螺矢量空间之间的连续拟陀螺线性算子的基本结果。这种映射非常重要，就像有限维希尔伯特空间之间的矩阵所引起的算子一样。这为研究Möbius陀螺向量空间之间的映射提供了一种新颖的方法，该映射应该对应于实际希尔伯特空间上的有界线性算子。