English

Positive definite preserving linear transformations on symmetric matrix spaces

Rings and Algebras 2010-08-10 v1

Abstract

Base on some simple facts of Hadamard product, characterizations of positive definite preserving linear transformations on real symmetric matrix spaces with an additional assumption "\raT(Eii)=1,i=1,2,...,n\ra T(E_{ii})=1, i=1,2,..., n" or "T(A)>0A>0T(A)>0\to A> 0", were given.

Keywords

Cite

@article{arxiv.1008.1347,
  title  = {Positive definite preserving linear transformations on symmetric matrix spaces},
  author = {Huynh Dinh Tuan and Tran Thi Nha Trang and Doan The Hieu},
  journal= {arXiv preprint arXiv:1008.1347},
  year   = {2010}
}

Comments

8 pages

R2 v1 2026-06-21T15:58:14.151Z