A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.
In this paper we extend the characterization of characters given in [1], [2] and [8] onto m-pseudoconvex algebras. As a consequence (and a generalization) we give a characterization of continuous homomorphisms from m-pseudoconvex algebras into commutative semisimple m-pseudoconvex algebras.
Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
We provide a complex version of a theorem due to Bednar and Lacey characterizing real -preduals. Hence we prove a characterization of complex -preduals via a complex barycentric mapping.
In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space in terms of local properties of functions in at the points off .
We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
Let be a perfect compact set, a quasi-complete locally convex space over and a map. In this note we give a necessary and sufficient condition — in terms of differential quotients — for to have a holomorphic extension on a neighborhood of .