Extension of Compact Operators from DF-spaces to C(K) spaces
Submitted: 2013-11-20
|Accepted: 2013-11-20
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Keywords:
Topological vector spaces, DF-spaces and C(K) the spaces
Supporting agencies:
Coordinación de la Investigación Científica de la UMSNH
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.
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