The local spectral behavior of completely subnormal operators
The local spectral behavior of completely subnormal operators
For any compact set $X$, let $C(X)$ denote the continuous functions on $X$ and $R(X)$ the functions on $X$ which are uniformly approximable by rational functions with poles off $X$. Let $A$ denote a subnormal operator having no reducing space on which it is normal. It is shown that a …