English

On certain generalized isometries of the special orthogonal group

Functional Analysis 2017-09-25 v2

Abstract

In this paper we explore the structure of certain generalized isometries of the special orthogonal group SO(n)SO(n) which are transformations that leave any member of a large class of generalized distance measures invariant. This gives us a far-reaching generalization of the former structural result of T. Abe, S. Akiyama and O. Hatori concerning cc-spectral isometries of the special orthogonal group.

Keywords

Cite

@article{arxiv.1609.07778,
  title  = {On certain generalized isometries of the special orthogonal group},
  author = {Marcell Gaál},
  journal= {arXiv preprint arXiv:1609.07778},
  year   = {2017}
}