On the continuity of Birkhoff–James -orthogonality sets
Christos Chorianopoulos, Panayiotis Psarrakos · Linear and Multilinear Algebra · 2012
Consider two matrices with , a matrix norm , and a real parameter . The Birkhoff–James -orthogonality set of with respect to , , is a compact and convex subset of the complex plane that has been recently introduced by the authors, as a natural generalization of the classical numerical range of square matrices. In this note, we derive the continuity of with respect to or .