  This paper deals with the condition pseudospectrum and essential condition
pseudospectrum of operator pencils on n.a Banach spaces. We give a
characterization of the condition pseudospectrum of operator pencils on n.a
Banach spaces, the relation between the condition pseudospectrum of $(A,B)$ and
the usual spectrum in a n.a valued field is investigated. Finally, we give a
characterization of the essential spectrum of $(A,B)$ where $A\neq B$ by means
of n.a completely continuous operators and we give some examples.
