Extensions of Yamamoto-Nayak's Theorem

Huajun Huang, Tin-Yau Tam

A result of Nayak asserts that $\underset{m\to \infty }{\lim }|A^m{|}^{1/m}$ exists for each $n\times n$ complex matrix $A$, where $|A|=(A^{\ast }A{)}^{1/2}$, and the limit is given in terms…