Nayak's theorem for compact operators

B V Rajarama Bhat, Neeru Bala

Let $A$ be an $m\times m$ complex matrix and let ${\lambda }_1,{\lambda }_2,\dots ,{\lambda }_m$ be the eigenvalues of $A$ arranged such that $|{\lambda }_1|\ge |{\lambda }_2|\ge \cdots \ge |{\lambda }_m|$ and for $n\ge 1,$ le…