IEEE Transactions on Automatic Control, Vol.48, No.3, 518-519, 2003
Comments on "Is the Frobenius matrix norm induced?"
In "Is the Frobenius Matrix Norm Induced?", the authors ask whether the Frobenius and the H-2 norms are induced. There, they claimed that the Frobenius norm is not induced and, consequently, conjectured that the H-2 norm may not be induced. In this note, it is shown that the Frobenius norm is induced on particular matrix spaces. It is then shown that the H-2 norm is in fact induced on a particular matrix-valued L-infinity space.