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Original Articles

Pelczynski's property (V) and weak* basic sequences

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Pages 307-316 | Received 19 Oct 2013, Published online: 17 Jun 2015

References

  • A. Cesmelioglu, Banach spaces with the Grothendieck property, M.Sc. Thesis, Koc University, Istanbul, 2006.
  • P. Cembranos, N. Kalton, E. Saab and P. Saab, Pelczynski's Property (V) on C(K,E) spaces, Math. Ann. 271 (1985), 91–97.
  • M. Contreras and S. Diaz, Some Banach space properties of the duals of the disk algebra and H∞, Michigan Math. J. 46(1) (1999), 123–141.
  • S. Diaz, Grothendieck's property in Lp (µ, X), Glasgow Math. J. 37 (1995), 379–382.
  • J. Diestel, Grothendieck spaces and vector measures, (Proc. Sympos., Snowbird Resort, Alta, Utah, 1972), pp. 97–108, Academic Press, New York, 1973.
  • J. Diestel, Sequences and Series in Banach Spaces, Graduate Texts in Math., Vol. 92, Springer, Berlin, 1984.
  • N. Dunford and J. Schwartz, Linear operators, Part I, General Theory, Interscience Publ. Co., New York, 1958.
  • G. Emmanuele, On Banach spaces containing complemented copies of c0, Extracta Mathematicae 3, (1988), 98–100.
  • J. Ghenciu and P. Lewis, Strong Dunford Pettis sets and spaces of operators, Monatsh. Math. 144 (2005), 275–284.
  • M. Gonzalez and V.M. Onieva, Lifting results for sequences in Banach spaces, Math. Proc. Camb. Phil. Soc. 105 (1989), 117–121.
  • K. John, w* basic sequences and reflexivity of Banach spaces, Czechoslovak Mathematical Journal 55(3) (2005), 677–681.
  • W.B. Johnson and H.P. Rosenthal, On w* basic sequences and their applications to the study of Banach spaces, Studia Math. 43 (1972), 77–92.
  • J. Mujica, Separable quotients of Banach spaces, Revista Matematica de La Universidad Complutense de Madrid 10(2) (1997), 299–330.
  • A. Pelczynski, Banach Spaces in which every unconditionally converging operator is weakly compact, Bull. de L'Academie Polonais des Sciences 10(2) (1962), 641–648.
  • A. Pelczynski, A connection between weakly unconditional convergence and weakly completeness of Banach spaces, Bull. de L'Academie Polonaise Des Sciences 6(4) (1958), 251–253.
  • N. Randrianantoanina, Pelczynski's Property (V) on spaces of vector valued functions, Colloq. Math. 71 (1996), 63–78.
  • I. Singer, Bases in Banach Spaces, II, Springer-Verlag, Berlin/Heidelberg/New York, 1981.
  • E. Saab and P. Saab, On unconditionally converging and weakly precompact operators, Illinois. J. Math. 35 (1991), 522–531.
  • T. Schlumprecht, Limited sets in Banach Spaces, Ph.D. Dissertation, Ludwig Maximilian's University, München, 1987.

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