Author(s)

Siyuan Wu

Department of Mathematics, Harbin University of Science and Technology, Harbin, China.

Firstly, in the general normed linear space, the concepts of generalized isosceles orthogonal group, generalized Birkhoff orthogonal group, generalized Roberts orthogonal group, strong Birkhoff orthogonal group and generalized orthogonal basis are introduced. Secondly, the conclusion that any two nonzero generalized orthogonal groups must be linearly independent group is proven. And the existence of nonzero generalized orthogonal group and its linear correlation are discussed preliminarily, as well as some related properties of nonempty generalized orthogonal group in specific normed linear space namely the l_p space.

Normed Linear Space, Generalized Orthogonal Group, Generalized Birkhoff Orthogonal Group, Generalized Isosceles Orthogonal Group, Generalized Roberts Orthogonal Group

Wu, S. (2022) The Related Properties of Generalized Orthogonal Group in Specific Normed Linear Spaces. Journal of Applied Mathematics and Physics, 10, 1-10. doi: 10.4236/jamp.2022.101001.