Schwartz Kernels on Siegel II Domains.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
Sequence spaces and interpolation problems for analytic functions
Sets in which the Besov norm in attained.
Several characterizations for the special atom spaces with applications.
The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as Hp-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of Hp-spaces is what we call the real atomic characterization of these spaces.
Simultaneous stabilization in
We study the problem of simultaneous stabilization for the algebra . Invertible pairs , j = 1,..., n, in a commutative unital algebra are called simultaneously stabilizable if there exists a pair (α,β) of elements such that is invertible in this algebra for j = 1,..., n. For n = 2, the simultaneous stabilization problem admits a positive solution for any data if and only if the Bass stable rank of the algebra is one. Since has stable rank two, we are faced here with a different situation....
Small bound isomorphisms of the domain of a closed *-derivation.
Smoothness properties of functions in at certain boundary points.
Sobolev- und Sobolev-Hardy-Räume auf S1: Dualitätstheorie und Funktionalkalküle.
Sobre un álgebra de funciones casi analíticas.
Solving power series equations. II. Change of ground field
We study the effect of changing the residue field, on the topological properties of local algebra homomorphisms of analytic algebras (quotients of convergent power series rings). Although injectivity is not preserved, openness and closedness in the Krull topology, simple topology, and inductive topology is preserved.
Some conditions on Douglas algebras that imply the invariance of the minimal envelope map.
Some linear topological properties of the hardy spaces
Some results about Beurling algebras with applications to operator theory
We prove that certain maximal ideals in Beurling algebras on the unit disc have approximate identities, and show the existence of functions with certain properties in these maximal ideals. We then use these results to prove that if T is a bounded operator on a Banach space X satisfying as n → ∞ for some β ≥ 0, then diverges for every x ∈ X such that .
Some Results about the Spectrum of Commutative Banach Algebras under the Weak Topology and Applications.
Spaces of analytic functions
Spaces of type
A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that is a closed subalgebra of . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.
Spatial numerical ranges of elements of Banach algebras.
Spectra of algebras of analytic functions on a Banach spaces.