Zobrazeno 1 - 10
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pro vyhledávání: '"Feinstein, J. A."'
Autor:
Feinstein, J. F., Izzo, Alexander J.
We give a simple, elementary proof that a uniform algebra is weakly sequentially complete if and only if it is finite-dimensional.
Comment: A section has been added discussing some additional related results in the literature and expository impr
Comment: A section has been added discussing some additional related results in the literature and expository impr
Externí odkaz:
http://arxiv.org/abs/2005.02917
Autor:
FEINSTEIN, J. F.1, IZZO, ALEXANDER J.2 aizzo@bgsu.edu
Publikováno v:
Bulletin of the Irish Mathematical Society. Winter2023/2024, Issue 92, p27-32. 6p.
Autor:
Feinstein, J. F., Morley, S.
Let $X$ be a perfect, compact subset of the complex plane. We consider algebras of those functions on $X$ which satisfy a generalised notion of differentiability, which we call $\mathcal{F}$-differentiability. In particular, we investigate a notion o
Externí odkaz:
http://arxiv.org/abs/1605.04779
Autor:
Feinstein, J. F., Izzo, Alexander J.
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 algebra on the closed unit disc; an essential, natu
Externí odkaz:
http://arxiv.org/abs/1512.08069
Let $X$ be a perfect, compact subset of the complex plane, and let $D^{(1)}(X)$ denote the (complex) algebra of continuously complex-differentiable functions on $X$. Then $D^{(1)}(X)$ is a normed algebra of functions but, in some cases, fails to be a
Externí odkaz:
http://arxiv.org/abs/1511.09276
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 theory of uniform algebras. In this paper, we introduce a topological
Externí odkaz:
http://arxiv.org/abs/1503.03785
Autor:
Feinstein, J. F., Heath, M. J.
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
Autor:
Feinstein, J. F., Dales, H. G.
Publikováno v:
Indian Journal of Pure and Applied Mathematics (Platinum Jubilee special issue), 41 (2010), 153-187
We investigate the completeness and completions of the normed algebras $D^{(1)}(X)$ for perfect, compact plane sets $X$. In particular, we construct a radially self-absorbing, compact plane set $X$ such that the normed algebra $D^{(1)}(X)$ is not com
Externí odkaz:
http://arxiv.org/abs/1501.03986
Autor:
Feinstein, J. F.
Publikováno v:
Irish Mathematical Society Bulletin, 59 (2007), 65-70
An elementary application of Fatou's lemma gives a strengthened version of the monotone convergence theorem. We call this the convergence from below theorem. We make the case that this result should be better known, and deserves a place in any introd
Externí odkaz:
http://arxiv.org/abs/1412.7702
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