@article {
author = {Manjegani, Seyd Mahmoud and Norouzi, Asghar},
title = {Inverse Young inequality in quaternion matrices},
journal = {Wavelet and Linear Algebra},
volume = {3},
number = {1},
pages = {45-52},
year = {2016},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {},
abstract = {Inverse Young inequality asserts that if $nu >1$, then $|zw|ge nu|z|^{frac{1}{nu}}+(1-nu)|w|^{frac{1}{1-nu}}$, for all complex numbers $z$ and $w$, and equality holds if and only if $|z|^{frac{1}{nu}}=|w|^{frac{1}{1-nu}}$. 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 sufficient condition for equality is given.},
keywords = {Inverse Young inequality,Quaternion matrix,Right eigenvalue,Complex representation},
url = {http://wala.vru.ac.ir/article_19953.html},
eprint = {http://wala.vru.ac.ir/article_19953_35469da2a28c83b1b25944b53b87c748.pdf}
}