On a characterization of polynomially barrelled spaces

A locally convex space E is polynomially barrelled if and only if, for every positive integer m and for every Banach space F, the space of all continuous m-homogeneous polynomials from E into F is quasi-complete for the topology of pointwise convergence

A SURVEY ON SEMI- T1/2 SPACES

The goal of this survey artic1e is to bring to your attention some of the salient features of recent research on characterizations of Semi- T 1/2 spaces

A necessary and sufficient for a space to be infrabarelled or polynomially infrabarrelled

A locally convex space E is infrabarrelled (resp. polynomially infrabarrelled) if and only if, for every Banach space F (resp. for every positive integer m and for every Banach space F), the space of all continous linear mappings from E into F (resp. the space of all continuous m-homogeous polynomials form E into F) is quasi-complete for the topology of bounded convergence

Weak and strong forms of irresolute maps

We consider new weak and stronger forms of irresolute and semi-closure via the concept sg-closed sets which we call ap-irresolute maps, ap-semi-closed maps and contra-irresolute and use it to obtain a characterization of semi-T1/2 spaces

On a characterization of polynomially barrelled spaces

A locally convex space E is polynomially barrelled if and only if, for every positive integer m and for every Banach space F, the space of all continuous m-homogeneous polynomials from E into F is quasi-complete for the topology of pointwise convergence