A sharper Swiss cheese
@inproceedings{Izzo2022ASS,
title={A sharper Swiss cheese},
author={Alexander J. Izzo},
year={2022}
}. It is shown that there exists a compact planar set K such that the uniform algebra R ( K ) is nontrivial and strongly regular. This answers a 53-year-old question of Donald Wilken. Dedicated to the memory of Harold Garth Dales
References
SHOWING 1-10 OF 14 REFERENCES
A general method for constructing essential uniform algebras
- MathematicsStudia Mathematica
- 2019
A general method for constructing essential uniform algebras with prescribed properties is presented. Using the method, the following examples are constructed: an essential, natural, regular uniform…
Uniform Algebras
- Mathematics
- 2000
Given a variety of algebras V, we study categories of algebras in V with a compatible structure of uniform space. The lattice of compatible uniformities of an algebra, Unif A, can be considered a…
S-Algebras on Sets in C n
- Mathematics
- 1973
We give conditions which are necessary and sufficient for polynomial approximation of any continuous function on a compact subset of Cn. Let X be a compact set in Cn, complex n-space, P(X) the…
A Note on Strongly Regular Function Algebras
- MathematicsCanadian Journal of Mathematics
- 1969
Let A be a uniformly closed subalgebra of C(X), the algebra of all complex-valued continuous functions on a compact Hausdorff space X. If A separates the points of X and contains the constant…
A nontrivial normal sup norm algebra
- Mathematics
- 1963
5. , Markoff chains and Martin boundaries, Illinois J. Math. 4 (I960), 313340. 6. R. S. Martin, Minimal positive harmonic functions, Trans. Amer. Math. Soc. 49(1941), 137-172. 7. P. A. Meyer,…
Banach algebras and automatic continuity
- Mathematics
- 2000
Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras,…