Title of article :
Inverse Young inequality in quaternion matrices
Author/Authors :
Norouzi, Asghar Department of Mathematical Sciences - Isfahan University of Technology - Isfahan, Islamic Republic of Iran , Manjegani, Mahmoud Department of Mathematical Sciences - Isfahan University of Technology - Isfahan, Islamic Republic of Iran
Abstract :
for all complex numbers z and w, and equality holds if and
only if jzj1 = jwj 1 1 . In this paper the complex representation of quaternion matrices is applied to establish the inverse Young inequality for matrices of quaternions. Moreover, a necessary and sucient condition for equality is given.
Keywords :
Inverse Young inequality , quaternion matrices
Journal title :
Astroparticle Physics
