6 papers · 1 filter
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…
Completions of normed algebras of differentiable functions
W. J. Bland, J. F. Feinstein
In this paper we look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions originally considered by Dales…
A counterexample to a conjecture of S.E. Morris
J. F. Feinstein
We give a counterexample to a conjecture of S.E. Morris by showing that there is a compact plane set X such that R(X) has no non-zero, bounded point derivations but such that R(X)…