On a Locally Convex Space Introduced By J.S.E Silva

Strongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function

In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.

entire sequence spaces defined on locally convex hausdorff topological space

in this paper we introduce entire sequence spaces defined by a sequence of modulus functions . we study some topological properties of these spaces and prove some inclusion relations.

Some Results on Boundedness in Locally Convex Cones

Preservation of Closure in a Locally Convex Space. I

This paper is concerned with the lifting of the closures of sets. If H is a topological vector space, G a subspace and A closed in G for the induced topology, under what conditions on A in G is it true that the closure of A is preserved in H, i.e., A is closed in HI In this paper a fundamental lifting proposition is proved. 'Preservation of closure' will prove to be a fruitful technique in obta...

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.