A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
Studia Mathematica
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S. Bernau, H. Lacey (1976)
Studia Mathematica
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Riečanová, Zdenka (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Guerrini, Luca (2004)
Divulgaciones Matemáticas
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Jinxi Chen (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper it is shown that if a Banach lattice contains a copy of , then it contains an almost lattice isometric copy of . The above result is a lattice version of the well-known result of James concerning the almost isometric copies of in Banach spaces.
T. Figiel (1980)
Studia Mathematica
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Mark Gaulter (2007)
Journal de Théorie des Nombres de Bordeaux
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We improve the known upper bound of the dimension of an indecomposable unimodular lattice whose shadow has the third largest possible length, .
Paseka, Jan (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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