A characteristic property of the algebra .
A characterization of
A characterization of essential sets of function algebras
In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space in terms of local properties of functions in at the points off .
A characterization of the invertible measures
Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.
A cheaper Swiss cheese
A corrected correction
A criterion for subharmonicity of a function of the spectrum
A discontinuous function does not operate on the real part of a function algebra
A domination theorem for function algebras
A function algebra without any point derivation
A generalization of the Maligranda--Orlicz Lemma.
A generalized Bishop-Gončar construction
A hierarchy in the family of real surjective functions
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties. These examples help us to establish a hierarchy within the different classes of surjectivity we deal with. The classes presented here are: everywhere surjective functions, strongly everywhere surjective functions, κ-everywhere surjective functions, perfectly everywhere surjective functions and Jones functions. The...
A Maximal Algebra.
A maximal subalgebra of R(X).
A note on a construction of J. F. Feinstein
In [6] J. F. Feinstein constructed a compact plane set X such that R(X), the uniform closure of the algebra of rational functions with poles off 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 the character space of A is a peak point but A is not weakly amenable. We show that it is possible to modify the construction in order to produce examples which are also regular.
A note on Banach algebras that are not isomorphic to a group algebra.
A note on criteria of Le Page and Hirschfeld-Żelazko for the commutativity of Banach algebras
A Note on Extreme and Exposed Points in Cn(I).
A note on finite codimensional linear isometries of into .