17 citations · 18 across the 6 of their papers we have counts for
6 papers
Normed algebras of differentiable functions on compact plane sets
J. F. Feinstein, H. G. Dales
We investigate the completeness and completions of the normed algebras for perfect, compact plane sets . In particular, we construct a radially self-absorbing, comp…
Regularity and amenability conditions for uniform algebras
M. J. Heath, J. F. Feinstein
We give a survey of the known connections between regularity conditions and amenability conditions in the setting of uniform algebras. For a uniform algebra we consider the set…
Countable linear combinations of characters on commutative Banach algebras
J. F. Feinstein
An elegant but elementary result of Wolff from 1921, when interpreted in terms of Banach algebras, shows that it is possible to find a sequence of distinct characters on the…
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)…
Trivial Jensen measures without regularity
J. F. Feinstein
In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with…
Non-regularity for Banach function algebras
J. F. Feinstein, D. W. B. Somerset
Let be a unital Banach function algebra with character space . For , let and be the ideals of functions vanishing at , and in a neighbourhood of $…