A spectral-norm generalization of the Böttcher-Wenzel inequality for rectangular matrices
Let Mm,n(C)M_{m,n}(\mathbb{C})Mm,n(C) denote the space of complex m×nm\times nm×n matrices. For a matrix, write ∥⋅∥F\|\cdot\|_F∥⋅∥F for the Frobenius norm, ∥⋅∥2\|\cdot\|_2∥⋅∥2 for the spectral norm, and…
MathDB