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Almost weakly compact operators

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.
Rocznik
Strony
237--256
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
autor
autor
  • Department of Mathematics, University of Wisconsin at River Falls, River Falls, WI 54022, U.S.A., ioana.ghenciu@uwrf.edu
Bibliografia
  • [l] K. Andrews, Dunford-Pettis sets in the space of Bochner integrable functions, Math. Ann. 241 (1979), 35-41.
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  • [8] W. J. Davis, D. W. Dean, and B.-L. Lin, Bibasic sequences and norming basic sequences, Trans. Amer. Math. Soc. 176 (1974), 89-102.
  • [9] J. Diestel, A survey of results related to the Dunford—Pettis property, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 15-60.
  • [10] —, Sequences and Series in Banach Spaces, Grad. Texts in Math. 92, Springer, Berlin, 1984.
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  • [23] I. Ghenciu and P. Lewis, Strong Dunford-Pettis sets and spaces of operators, Monatsh. Math. 144 (2005), 275-284.
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  • [37] C. Swartz, Unconditionally converging operators on the space of continuous functions, Rev. Roumaine Math. Pures Appl. 17 (1973), 123-131
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0067
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