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Compact operators

  • Swartz, Charles [1]
    1. [1] New Mexico State University

      New Mexico State University

      Estados Unidos

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 3, 2009, págs. 233-237
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172009000300004
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  • Resumen
    • We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.

  • Referencias bibliográficas
    • Citas [DS] N. Dunford and J. Schwartz, Linear Operators, Interscience, N. Y., (1957).
    • [Ko1] G. Kothe, Topological Vector Spaces I, Springer-Verlag, Berlin, (1966).
    • [Ko2] G. Kothe, Topological Vector Spaces II, Springer-Verlag, Berlin, (1979).
    • [Ku] S. S. Khurana, Quasi-Mackey Topology, Proy. J. Math., 26, pp. 253- 257, (2007).
    • [Sch] H. Schaefer, Topological Vector Spaces, MacMillan, N. Y., (1966).
    • [Sw] C. Swartz, An Introduction to Functional Analysis, Marcel Dekker, N. Y., (1992).
    • [Tr] F. Treves, Topological Vector Spaces, Distributions and Kernels, Academic Press, N. Y., (1967).
    • [Wi] A. Wilansky, Modern Methods in Topological Vector Spaces, McGraw-Hill, N. Y., (1978).

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