English

Preserving the trace of the Kronecker sum

Rings and Algebras 2019-01-08 v1

Abstract

The aim of this paper is to study linear preservers of the trace of Kronecker sums and their connection with preservers of determinants of Kronecker products. The partial trace and partial determinant play a fundamental role in characterizing the preservers of the trace of Kronecker sums and preservers of the determinant of Kronecker products respectively.

Keywords

Cite

@article{arxiv.1901.01720,
  title  = {Preserving the trace of the Kronecker sum},
  author = {Yorick Hardy and Ajda Fošner},
  journal= {arXiv preprint arXiv:1901.01720},
  year   = {2019}
}