The first of the Ky Fan norms, the Ky Fan 1-norm, is the same as the operator norm of "M" as a linear operator with respect to the Euclidean norms of "K""m" and "K""n". In other words, the Ky Fan 1-norm is the operator norm induced by the standard "ℓ"2 Euclidean inner product. For this reason, it is also called the operator 2-norm. One can easily verify the relationship between the Ky Fan 1-norm and singular values. It is true in general, for a bounded operator "M" on (possibly infinite-dimensional) Hilbert spaces