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

• Garibay Bonales, Fernando ^[1] ; Vera Mendoza, Rigoberto ^[1]
  1. [1] Universidad Michoacana de San Nicolás de Hidalgo

     Universidad Michoacana de San Nicolás de Hidalgo

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 7, Nº. 2, 2006, págs. 165-170
• Idioma: inglés
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• Resumen

  • 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.