Embedding C(X) in an algebra of analytic functions
Embedding polydisk algebras into the disk algebra and an application to stable ranks
It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.
Ensembles pics pour A°°(D) non globalement inclus dans une variété integrale.
Erratum : Notes on interpolation of Hardy spaces
An error in the paper named in the title ibid., 42-4 (1992)875-889 is corrected.
Estimates for a class of integral operators and appli-cations to the ?-Neumann problem.
Eventual continuity in Banach algebras of differentiable functions
Exposed points in the set of representing measures for the disc algebra
It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.
Extension and decomposition operators in products of strictly pseudoconvex sets
Extremal functions of the Nevanlinna-Pick problem and Douglas algebras
The Nevanlinna-Pick problem at the zeros of a Blaschke product B having a solution of norm smaller than one is studied. All its extremal solutions are invertible in the Douglas algebra D generated by B. If B is a finite product of sparse Blaschke products (Newman Blaschke products, Frostman Blaschke products) then so are all the extremal solutions. For a Blaschke product B a formula is given for the number C(B) such that if the NP-problem has a solution of norm smaller than C(B) then all its extremal...
Extremal non-compactness of weighted composition operators on the disk algebra
Extreme and exposed representing measures of the disk algebra
We study the extreme and exposed points of the convex set consisting of representing measures of the disk algebra, supported in the closed unit disk. A boundary point of this set is shown to be extreme (and even exposed) if its support inside the open unit disk consists of two points that do not lie on the same radius of the disk. If its support inside the unit disk consists of 3 or more points, it is very seldom an extreme point. We also give a necessary condition for extreme points to be exposed...