Open AccessFunctions Preserving Orthogonality of Hermitian Matrices
Author(s) -
Meili Liu,
Liwei Wang,
Chun-Te Lee,
Jeng-Eng Lin
Publication year - 2021
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v13n4p77
Subject(s) - orthogonality , mathematics , hermitian matrix , characterization (materials science) , pure mathematics , hermitian function , algebra over a field , geometry , materials science , nanotechnology
Inspired by the results that functions preserve orthogonality of full matrices, upper triangular matrices, and symmetric matrices.
We finish the work by finding special orthogonal matrices which satisfy the conditions of preserving orthogonality functions. We give a characterization of functions preserving orthogonality of Hermitian matrices.