Cone characterization of Grothendieck spaces and Banach spaces containing c 0

Albanese A.A., Bonet J., Ricker W.J.: Grothendieck spaces with the Dunford-Pettis property. Positivity 14(1), 145–164 (2010)

Aliprantis, C.D., Burkinshaw, O.: Positive operators. In: Pure and Applied Mathematics, vol. 119. Academic Press, New York (2006)

Aliprantis, C.D., Tourky, R.: Cones and duality. In: Graduate Studies in Mathematics, vol. 84. AMS, Providence (2007)

Bessaga C., Pelczynski A.: On bases and unconditional convergence of series in Banach spaces. Stud. Math. 17, 151–164 (1958)

Casini E., Miglierina E.: Cones with bounded and unbounded bases and reflexivity. Nonlinear Anal. 72, 2356–2366 (2010)

Diestel, J., Uhl, J.J.: Vector Measures. Amer. Math. Society, Providence (1977)

Grothendieck A.: Sur les applications lineaires faiblement compactes d’espaces du type C(K). Can. J. Math. 5, 129–173 (1953)

James R.C.: Bases and reflexivity of Banach spaces. Ann. Math. 52, 518–527 (1950)

Jameson, G.J.O.: Ordered linear spaces. In: Lecture Notes in Mathematics, vol. 142. Springer-Verlag, Heidelberg (1970)

Ji D., Craddock M., Bu Q.: Reflexivity and the Grothendieck property for positive tensor products in Banach lattices-I. Positivity 14(1), 59–68 (2010)

Johnson W.B., Rosenthal H.P.: On w*-basic sequence and their applications to the study of Banach spaces. Stud. Math. 43, 77–92 (1972)

Mil’man V.D.: Geometric theory of Banach spaces—I. Russ. Math. Surv. 05, 111–170 (1970)

Pelczynski A.: A note on the paper of I. Singer: Basic sequences and reflexivity of Banach spaces. Stud. Math. 21, 371–374 (1962)

Philips R.S.: On linear transformations. Trans. Am. Math. Soc. 48, 516–541 (1940)

Polyrakis I.A.: Strongly exposed points and a characterization of ℓ 1(Γ) by the Schur property. Proc. Edinb. Math. Soc. 30, 397–400 (1987)

Polyrakis I.A.: Demand functions and reflexivity. J. Math. Anal. Appl. 338, 695–704 (2008)

Qiu J.H.: A cone characterization of reflexive Banach spaces. J. Math. Anal. Appl. 256, 39–44 (2001)

Rosenthal H.P.: A characterization of Banach spaces containing ℓ 1. Proc. Natl. Acad. Sci. USA 71, 2411–2413 (1974)

Rosenthal H.P.: A characterization of Banach spaces containing c 0. J. Am. Math. Soc. 7, 707–748 (1994)

Singer I.: Basic sequences and reflexivity of Banach spaces. Stud. Math. 21, 351–369 (1962)

Singer I.: Bases in Banach Spaces—I. Springer-Verlag, Heidelberg (1970)