6 citations · 18 across the 24 of their papers we have counts for
24 papers
Regularity of does not pass to finite unions
Joel Feinstein
We show that there are compact plane sets , such that and are regular but is not regular.
Quasianalyticity in certain Banach function algebras
J. F. Feinstein, S. Morley
Let be a perfect, compact subset of the complex plane. We consider algebras of those functions on which satisfy a generalised notion of differentiability, which we call $\m…
The chain rule for -differentiation
T. Chaobankoh, J. F. Feinstein, S. Morley
Let be a perfect, compact subset of the complex plane, and let denote the (complex) algebra of continuously complex-differentiable functions on . Then $D^{(1)}(…
Regularity points and Jensen measures for
Joel F. Feinstein, Hongfei Yang
We discuss two types of `regularity point', points of continuity and R-points for Banach function algebras, which were introduced by the first author and Somerset in an earlier pap…
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…
Quasicompact endomorphisms of commutative semiprime Banach algebras
Joel F. Feinstein, Herbert Kamowitz
This paper is a continuation of our study of compact, power compact, Riesz, and quasicompact endomorphisms of commutative Banach algebras. Previously it has been shown that if …