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Some geometric properties inherited by the positive tensor products of atomic Banach lattices
Autores:
Qingying Bu, Ngai-Ching Wong
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
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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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