2 citations · 4 across the 5 of their papers we have counts for
5 papers
Extensions of uniform algebras
S. Morley
The theory of algebraic extensions of Banach algebras is well established, and there are many constructions which yield interesting extensions. In particular, Cole's method for ext…
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)}(…
Abstract Swiss Cheese Space and the Classicalisation of Swiss Cheeses
J. F. Feinstein, S. Morley, H. Yang
Swiss cheese sets are compact subsets of the complex plane obtained by deleting a sequence of open disks from a closed disk. Such sets have provided numerous counterexamples in the…
Swiss Cheeses and Their Applications
J. F. Feinstein, S. Morley, H. Yang
Swiss cheese sets have been used in the literature as useful examples in the study of rational approximation and uniform algebras. In this paper, we give a survey of Swiss cheese c…