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Some geometric properties inherited by the positive tensor products of atomic Banach lattices

  • Autores: Qingying Bu, Ngai-Ching Wong Árbol académico
  • Localización: Indagationes mathematicae, ISSN 0019-3577, Vol. 23, Nº 3, 2012, págs. 199-213
  • Idioma: inglés
  • DOI: 10.1016/j.indag.2011.11.004
  • Texto completo no disponible (Saber más ...)
  • Referencias bibliográficas
    • S.J. Bernau, A unified approach to the principle of local reflexivity, in: Notes in Banach Spaces, Univ. Texas Press, Austin, Texas, 1980,...
    • Q. Bu, G. Buskes, Schauder decompositions and the Fremlin projective tensor product of Banach lattices, J. Math. Anal. Appl. 355 (2009) 335–351.
    • Q. Bu, M. Cruddock, D. Ji, Reflexivity and the Grothendieck property for positive tensor products of Banach lattices-II, Quaest. Math. 32...
    • Q. Bu, D. Ji, Y. Li, Copies of $\ell_1$ in positive tensor products of Orlicz sequence spaces, Quaest. Math. 34 (2011) 407–415.
    • Q. Bu, Y. Li, X. Xue, Some properties of the space of regular operators on atomic Banach lattices, Collect. Math. 62 (2011) 131–137.
    • P. Cembranos, J. Mendoza, Banach Spaces of Vector-Valued Functions, in: Lecture Notes in Math., vol. 1676, Springer-Verlag, 1997.
    • Z.L. Chen, A.W. Wickstead, Some applications of Rademacher sequences in Banach lattices, Positivity 2 (1998) 171–191.
    • L. Drewnowski, Copies of $\ell_\infty$ in an operator space, Math. Proc. Cambridge Philos. Soc. 108 (1990) 523–526.
    • D.H. Fremlin, Tensor products of Archimedean vector lattices, Amer. J. Math. 94 (1972) 778–798.
    • D.H. Fremlin, Tensor products of Banach lattices, Math. Ann. 211 (1974) 87–106.
    • S. Heinrich, P. Mankiewicz, Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces, Studia Math. 73 (1982)...
    • G.A.M. Jeurnink, Integration of functions with values in a Banach lattice, Ph.D. Thesis, University of Nijmegen, The Netherlands, 1982.
    • Y. Li, D. Ji, Q. Bu, Copies of $c_0$ and $\ell_\infty$ in a regular operator space, Taiwanese J. Math. (in press).
    • P. Meyer-Nieberg, Banach Lattices, Springer-Verlag, 1991.
    • H.P. Rosenthal, On relatively disjoint families of measures with some applications to Banach space theory, Studia Math. 37 (1970) 13–36.
    • H.H. Schaefer, Aspects of Banach lattices, Studies in Functional Analysis, MAA Stud. Math., vol. 21, Washington, DC, 1980, pp. 158–221.
    • A.R. Schep, Factorization of positive multilinear maps, Illinois J. Math. 28 (1984) 579–591.
    • G. Wittstock, Eine Bemerkung über Tensorprodukte von Banachverbänden, Arch. Math. 25 (1974) 627–634.
    • G. Wittstock, Ordered Normed Tensor Products, in: Lecture Notes in Physics, vol. 29, Springer, 1974, pp. 67–84.
    • M. Wolff, Vektorwertige invariante Maße von rechtsamenablen Halbgruppen positiver Operatoren, Math. Z. 120 (1971) 265–276.

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