Banach Algebra Methods in Prediction Theory.
In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded complex-valued functionals.
The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.