Pushing down Loeb measures.
Countably determined sets and a conjecture of C.W. Henson.
Topological algebras with an orthogonal total sequence
The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the “coefficient functionals”. Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence satisfying and for all n ∈ ℕ.
Hadamard's multiplication theorem - recent developments
An order-theoretic approach to involutive algebras
Spaces with a Borel-complete Stone-Čech compactification
Hausdorff completions of quasi-uniform spaces
On the Continuity of Internal Functions
Algebras of holomorphic functions with Hadamard multiplication
A systematic investigation of algebras of holomorphic functions endowed with the Hadamard product is given. For example we show that the set of all non-invertible elements is dense and that each multiplicative functional is continuous, answering some questions in the literature.
Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Let be the set of all holomorphic functions on the domain Two domains and are called Hadamard-isomorphic if and are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.
Page 1