A Schatten -norm is the p-norm of the vector of singular values of a matrix. If the singular values are denoted by  then the Schatten -norm is defined by  Show that the Schatten norm is the spectral...

A Schatten
-norm is the p-norm of the vector of singular values of a matrix. If the singular values are denoted by
 then the Schatten
-norm is defined by

 Show that the Schattennorm is the spectral norm,

₂

 In Chapter 15, we will be able to use the SVD to show that trace Using this result, show that the Schatten 2-norm is the Frobenius norm.