On Asymptotic Properties of Several Classes of Operators
On Asymptotic Properties of Several Classes of Operators
Let $p(T,{T^ \ast })$ be a polynomial in T and ${T^ \ast }$ where T is a bounded linear operator on a separable Hilbert space. Let $\Delta = \{ T|p(T,{T^ \ast }) = 0\}$. Then $\Delta$ is said to be asymptotic for p if for every $K > 0$, there …