Download Gabriela Bulancea () De- partment of Mathematics and Physics, University of

Gabriela Bulancea ([email protected]) Department of Mathematics and Physics, University of
Puerto Rico in Cayey, Puerto Rico, On the stability of
logmodularity for uniform algebras.
ABSTRACT. The main issue in the theory of perturbations of Banach algebras is to determine what properties
of a given Banach algebra A are preserved when we slightly
deform A by means of de…ning a new multiplication between the elements of A, multiplication which is "close"
to the original one. We use a characterization theorem
for elements of best approximation in normed linear spaces by elements of a
linear subspace to address the problem of whether being logmodular is a stable
property for uniform algebras.
1