  The corona problem was motivated by the question of the density of the open
unit disc in the maximal ideal space of the algebra of bounded holomorphic
functions on the unit disc. The corona problem connects operator theory,
function theory, and geometry. It has been studied by different scholars in
different contexts and found to be an important part of classical function
theory, and of modern harmonic analysis. In this paper we give a new proof of
the corona theorem based on Bezout formulation of the corona problem. The main
feature of this method sheds light on how to extend from complex one variable
to complex several variables.

Complex Variables