On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices

We present some fundamental results concerning to continuous quasi gyrolinear operators between Mobius 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 Mobius gyrovector spaces that should correspond to bounded linear operators on real Hilbert spaces.