Moment Problem for Symmetric Algebras of Locally Convex Spaces

Banach Algebras of Operators on Locally Convex Spaces

Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces

* Correspondence: [email protected] Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea Full list of author information is available at the end of the article Abstract In this article, a new symmetric strong vector quasiequilibrium problem in real locally convex Hausdorff topological vector spaces is introduced and studied. An existence theorem ...

On the dual of certain locally convex function spaces

In this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $X$,  where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.

Asymmetric locally convex spaces

The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the EidelheitTuckey separation theorems, of the Alaoglu-Bourbaki theorem on the weak compactness of the polar of a neighborhood of 0, and a Krein-Milman-type theorem. These results extend those obtained by Garcı́a-Raffi et al. (2003) and Co...

Symmetric Moment Problem

Sufficient condition for the symmetric moment problem to be determinate is given using standards methods of q-Fourier analysis. This condition it cannot be a particular case of Carleman’s criterion.