Factorization of Matrices into Partial Isometries
Factorization of Matrices into Partial Isometries
In this paper, we characterize complex square matrices which are expressible as products of partial isometries and orthogonal projections.More precisely, we show that a matrix T is the product of k partial isometries (k > 1) if and only if T is a contraction (||r|| < 1) and rank (1 …