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Banach lattices with properties of dunford- pettis type

  • Sánchez Henríquez, José A. [1]
    1. [1] Universidad de Concepción

      Universidad de Concepción

      Comuna de Concepción, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 14, Nº. 1, 1995, págs. 65-74
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1995.0001.00006
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  • Resumen
    • This paper is devoted to relationships between weakly compact operators and M- weakly compact (L-weakly compact) operators acting from (resp. into) Banach lattices. We define the M - Dunford - Pettis Property for Banach lattices and the L-Dunford-Pettis Property in Banach spaces. The paper contains some characterizations of this two properties.

  • Referencias bibliográficas
    • Citas [1] C. Aliprantis, Locally Salid Riesz Spaces, Academic Press, New York, (1978).
    • [2] P. Dodds and H. Fremlin, Compact Operators in Banach Lattices, Israel J. of Math. 34, 278- 320, (1979).
    • [3] P. Dodds, 0-weakly compact mapping of Riesz spaces, Trans. Amer. Math. Soc. 214,389- 405, (1979).
    • [4] A. Grothedieck, Sur les applications lineaires faiblement compactes d'espaces du type C(K), Canad. J. of Math. 5, 129- 173, (1953).
    • [5] P. Meyer- Nieberg, Uber Klassen schwach kompakter operatoren in Bancahverbanden, Math. Z. 138,145- 159, (1974)
    • [6] J. Sanchez, The Positive Schur Property, Extracta Mathematicae, Vol. 7, Nº- 2- 3, 161- 163, (1992).
    • [7] H. Schaeffer, Banach Lattices and Positive Operators, Springer Verlag, Berlin-Heidelberg-New York, (1974).
    • [8] W. Wnuk, Banach lattices with Properties of the Schur type. A Survey, Conference del Seminario di Matematica dell'Universitat di Bari,...
    • [9] C. Zaanen, Riesz Space 11, North - Holland Publishing Company, Amsterdam-New York-Oxford, (1984).

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