Extension of Compact Operators from DF-spaces to C(K) spaces

Abstract

It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.

Keywords

• Topological vector spaces
• DF-spaces and C(K) the spaces