Accordingly , the spectrum of T can be divided into the following parts :
A bounded operator T on a Banach space is invertible , i.e. has a bounded inverse , if and only if T is bounded below and has dense range .
The spectrum of T can be divided into the following parts :
A bounded operator T on a Banach space is invertible , i.e. has a bounded inverse , if and only if T is bounded below and has dense range .