Rational Approximation and Weak Analyticity. II.
Reflexivity of the isometry group of some classical spaces.
We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and a1gebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. Hardy spaces. 5. Banach algebras of holomorphic functions. 6. Fréchet algebras of holomorphic functions. 7. Spaces of continuous functions.
Regolarità degli Jacobiani
Reinhardt domains and the Gleason problem
Remark on paper of M. Von Renteln "Finitely generated ideals in B-Algebra H∞".
Representations of H...(G) and invariant subspaces.
Representing measures for the disc algebra and for the ball algebra
We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.
Riemann mapping theorem in ℂⁿ
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent. We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem
Royden's Algebra on Riemannian Spaces.