Geodesic
Little G. T. for lp-lattice summing operators
Serdica Mathematical Journal, Tome 32 (2006) no. 1, pp. 39-56.

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In this paper we introduce and study the lp-lattice summing operators in the category of operator spaces which are the analogous of p-lattice summing operators in the commutative case. We study some interesting characterizations of this type of operators which generalize the results of Nielsen and Szulga and we show that Λ l∞( B(H) ,OH) ≠ Λ l2( B( H) ,OH), in opposition to the commutative case.
Keywords: Banach Lattice, Completely Bounded Operator, Convex Operator, lp-lattice Summing Operato, Operator Space 
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Mezrag, Lahcène. Little G. T. for lp-lattice summing operators. Serdica Mathematical Journal, Tome 32 (2006) no. 1, pp. 39-56. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_1_a3/