An algebraic characterization of quasi-Möbius homeomorphisms. (Une caractérisation algébrique des homéomorphismes quasi-Möbius.)
An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure
The James-Schreier spaces, defined by amalgamating James' quasi-reflexive Banach spaces and Schreier space, can be equipped with a Banach-algebra structure. We answer some questions relating to their cohomology and ideal structure, and investigate the relations between them. In particular we show that the James-Schreier algebras are weakly amenable but not amenable, and relate these algebras to their multiplier algebras and biduals.
An analogue of the Riesz-representation theorem.
An application of averaging operators to multilinearity.
An Application of the Theorem of Rudin to the Toeplitz Operators on Odd Spheres.
An Approximate Taylor's Theorem for R(X).
An atomic theory of ergodic spaces
An embedding theorem for commutative -algebras
An example for Gelfand's theory of commutative Banach algebras
An example of a Fréchet algebra which is a principal ideal domain
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
An example of a maximal unimodular Dirichlet algebra.
An example of a subalgebra of on the unit disk whose stable rank is not finite
We present an example of a subalgebra with infinite stable rank in the algebra of all bounded analytic functions in the unit disk.
An exotic characterization of a commutative -algebra.
An extremal problem in Banach algebras
We study asymptotics of a class of extremal problems rₙ(A,ε) related to norm controlled inversion in Banach algebras. In a general setting we prove estimates that can be considered as quantitative refinements of a theorem of Jan-Erik Björk [1]. In the last section we specialize further and consider a class of analytic Beurling algebras. In particular, a question raised by Jan-Erik Björk in [1] is answered in the negative.
An ideal boundary for domains in -space.
An identity for reproducing kernels in a planar domain and Hilbert-Schmidt Hankel operators.
An m-convex B₀-algebra with all left but not all right ideals closed
We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.
An optimal symbolic calculus on Besov algebras
An upper bound for the distance to finitely generated ideals in Douglas algebras
Let f be a function in the Douglas algebra A and let I be a finitely generated ideal in A. We give an estimate for the distance from f to I that allows us to generalize a result obtained by Bourgain for to arbitrary Douglas algebras.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach