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

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

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Garibay Bonales, F.; Vera Mendoza, R. (2006). Extension of Compact Operators from DF-spaces to C(K) spaces. Applied General Topology. 7(2):165-170. https://doi.org/10.4995/agt.2006.1921

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Título: Extension of Compact Operators from DF-spaces to C(K) spaces
Autor: Garibay Bonales, Fernando Vera Mendoza, Rigoberto
Fecha difusión:
Resumen:
[EN] 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 ...[+]
Palabras clave: Topological vector spaces , DF-spaces and C(K) the spaces
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2006.1921
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2006.1921
Agradecimientos:
The research of the authors was supported by the Coordinación de la Investigación Científica de la UMSNH.
Tipo: Artículo

References

Köthe, G. (1983). Topological Vector Spaces I. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-642-64988-2

Johnson, W. B., & Lindenstrauss, J. (2001). Basic Concepts in the Geometry of Banach Spaces. Handbook of the Geometry of Banach Spaces, 1-84. doi:10.1016/s1874-5849(01)80003-6

W. B. Johnson and M. Zippin, Extension of operators from weak*-closed subspaces of l1 to C(K), Studia Mathematica 117 (1) (1995), 43–45. [+]
Köthe, G. (1983). Topological Vector Spaces I. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-642-64988-2

Johnson, W. B., & Lindenstrauss, J. (2001). Basic Concepts in the Geometry of Banach Spaces. Handbook of the Geometry of Banach Spaces, 1-84. doi:10.1016/s1874-5849(01)80003-6

W. B. Johnson and M. Zippin, Extension of operators from weak*-closed subspaces of l1 to C(K), Studia Mathematica 117 (1) (1995), 43–45.

Michael, E. (1956). Continuous Selections. I. The Annals of Mathematics, 63(2), 361. doi:10.2307/1969615

E. Michael, Some Problems, Open Problems in Topology, Elsevier, Amsterdam, 1990.

L. Narici and E. Beckenstein, Topological Vector Spaces, Marcel Dekker, Inc., New York, 1985.

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