4 papers
Banach function algebras with dense invertible group
H. G. Dales, J. F. Feinstein
In an earlier paper, Dawson and the second author asked whether or not a Banach function algebra with dense invertible group can have a proper Shilov boundary. We give an example o…
Extensions of endomorphisms of C(X)
J. F. Feinstein, T. J. Oliver
For a compact space X we consider extending endomorphisms of the algebra C(X) to be endomorphisms of Arens-Hoffman and Cole extensions of C(X). Given a non-linear, monic polynomial…
Riesz endomorphisms of Banach algebras
Joel F. Feinstein, Herbert Kamowitz
Let B be a unital commutative semi-simple Banach algebra. We study endomorphisms of B which are simultaneously Riesz operators. Clearly compact and power compact endomorphisms are…
Compact homomorphisms between Dales-Davie algebras
J. F. Feinstein, H. Kamowitz
In this note we consider compact homomorphisms and endomorphisms between various Dales-Davie algebras. In particular, we obtain fairly complete results when the underlying set is t…