In this paper, by utilising the Riesz functional calculus in a Banach
algebra B, we provide some norm inequalities for the generalized commutator
f(y)z zf(x)
where x; y; z 2 B and f is an analytic function for which the elements f(y) and
f(x) exist. Some examples for the resolvent and exponential functions are also
given.departmental bulletin pape
