Nuclear Norm Under Tensor Kronecker Products
arXiv:2001.07202
Abstract
Derksen proved that the spectral norm is multiplicative with respect to vertical tensor products (also known as tensor Kronecker products). We will use this result to show that the nuclear norm and other norms of interest are also multiplicative with respect to vertical tensor products.
8 pages, 0 figures. Previous version includes proofs of the statements contained in Remark 2. These results were found to have been shown previously, by Kong, Lee and Wang, in "New estimations on the upper bounds for the nuclear norm of a tensor"