IMI/Publicaţii/BASM/Ediţii/BASM n.2 (36), 2001/

Topologies on functional spaces.

Authors: Afanas Dorin N.


Let E be a locally l-bounded linear topological space, X be a space, α(X) be a compact cover on X and Cα(X, E) be the space of all continuous mappings of X into E in the topology of uniform convergence on the sets F∈α(X). In the present paper the equivalence of topological spaces generated by the isomorphism of functional spaces Cα(X, E) is studied.