3 citations · 6 across the 7 of their papers we have counts for
7 papers
Swiss cheeses, rational approximation and universal plane curves
J. F. Feinstein, M. J. Heath
In this paper we consider the compact plane sets known as Swiss cheese sets, which are a useful source of examples in the theory of uniform algebras and rational approximation. We…
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…
Compactness of derivations from commutative Banach algebras
Matthew J. Heath
We consider the compactness of derivations from commutative Banach algebras into their dual modules. We show that if there are no compact derivations from a commutative Banach alge…
Characterising derivations from the disc algebra to its dual
Yemon Choi, Matthew J. Heath
We show that the space of all bounded derivations from the disc algebra into its dual can be identified with the Hardy space ; using this, we infer that all such derivations a…
Compact failure of multiplicativity for linear maps between Banach algebras
M. J Heath
We introduce notions of compactness and weak compactness for multilinear maps from a product of normed spaces to a normed space, and prove some general results about these notions.…
Translation-finite sets, and weakly compact derivations from $\lp{1}(\Z_+)$ to its dual
Yemon Choi, Matthew J. Heath
We characterize those derivations from the convolution algebra to its dual which are weakly compact. In particular, we provide examples which are weakly com…