Abstract

Let V be a direct sum of full matrix algebras, or the algebra of block upper triangular matrices. Suppose r ( A ) is the numerical radius of $A \\in V$ . We characterize mappings $f: V \\rightarrow V$ that satisfy $r(\\;f(A)-f(B)) = r(A-B) \\ {\\rm for \\ all} \\ A, B \\in V$ .

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call