The radon nikodym property for positive tensor products

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In 1955, Grothendieck systematically introduced the general theory of tensor products for Banach spaces. As for Banach lattices case, in 1974 and 1972, Wittstock and Fremlin respectively introduced the Wittstock (positive) injective and Fremlin (positive) projective tensor product for Banach lattices. In 2006, Bu and Buskes used l_p as a special case, discussed the Radon-Nikodym property for the Wittstock and Fremlin Tensor products of l_p and Banach lattices. Based on that result, we improved the result to Orlicz sequence space, a more generalized case. In this dissertation, we first introduce several Banach lattice-valued sequence spaces. By proving they are isometrically isomorphic and Riesz isomorphic to the Wittstock injective tensor product and Fremlin projective tensor product respectively, we then use them as the sequential representations of these two positive tensor products. Finally, by studying these sequential representations, we obtain characterizations of the Radon-Nikodym property on these two positive tensor products.

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Oorspronkelijke releasedatum: 12 oktober 2011

Aantal pagina's: 76

Hoofdauteur: Wei-Kai Lai

Hoofduitgeverij: Lap Lambert Academic Publishing

Product breedte: 152 mm

Product hoogte: 5 mm

Product lengte: 229 mm

Verpakking breedte: 152 mm

Verpakking hoogte: 5 mm

Verpakking lengte: 229 mm

Verpakkingsgewicht: 122 g

EAN: 9783844381290

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