Showing papers by "Roger A. Horn published in 1990"
TL;DR: In this paper, a quasilinear representation for unitarily invariant norms is proposed, and a basic inequality of the Cauchy-schwarz type is proved.
62 citations
TL;DR: In this paper, it was shown that for any unitarily invariant norm on the space of n-by-n complex matrices, there is a constant constant for all the matrices in the space.
Abstract: The authors show that for any unitarily invariant norm $\| \cdot \|$ on $M_n $ (the space of n-by-n complex matrices) \[ (1)\qquad \| A^ * B \|^2 \leq \| A^* A \| \| B^* B \| \quad \text{for all}\,...
49 citations