Výsledky vyhledávání

Report

Swiss cheeses, rational approximation and universal plane curves

Publikováno v: Studia Mathematica, 196 (2010), 289-306

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 introduce a notion of 'allocation map' connected with Swiss cheeses, a

Externí odkaz: http://arxiv.org/abs/1501.04008

Zobrazit plný text záznamu

Report

Regularity and amenability conditions for uniform algebras

Autor: Heath, M. J., Feinstein, J. F.

Publikováno v: Function Spaces, 159-169, 435, 2007

We give a survey of the known connections between regularity conditions and amenability conditions in the setting of uniform algebras. For a uniform algebra $A$ we consider the set, $A_{lc}$, of functions in $A$ which are locally constant on a (varyi

Externí odkaz: http://arxiv.org/abs/1412.7708

Zobrazit plný text záznamu

Report

Compact failure of multiplicativity for linear maps between Banach algebras

Autor: Heath, M. J

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. We then consider linear maps $T:A\to B$ between Banach algebras that

Externí odkaz: http://arxiv.org/abs/0901.3506

Zobrazit plný text záznamu

Report

A note on a construction of J.F. Feinstein

Autor: Heath, M. J.

In \cite{F} J.F. Feinstein constructed a compact plane set $X$ such that $R(X)$ has no non-zero, bounded point derivations but is not weakly amenable. In the same paper he gave an example of a separable uniform algebra $A$ such that every point in th

Externí odkaz: http://arxiv.org/abs/math/0407533

Zobrazit plný text záznamu