# Little G. T. for lp-lattice summing operators

Serdica Mathematical Journal (2006)

- Volume: 32, Issue: 1, page 39-56
- ISSN: 1310-6600

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topMezrag, Lahcène. "Little G. T. for lp-lattice summing operators." Serdica Mathematical Journal 32.1 (2006): 39-56. <http://eudml.org/doc/281424>.

@article{Mezrag2006,

abstract = {2000 Mathematics Subject Classification: 46B28, 47D15.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.},

author = {Mezrag, Lahcène},

journal = {Serdica Mathematical Journal},

keywords = {Banach Lattice; Completely Bounded Operator; Convex Operator; lp-lattice Summing Operato; Operator Space; Banach lattice; completely bounded operator; convex operator; -lattice summing operator; operator space},

language = {eng},

number = {1},

pages = {39-56},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Little G. T. for lp-lattice summing operators},

url = {http://eudml.org/doc/281424},

volume = {32},

year = {2006},

}

TY - JOUR

AU - Mezrag, Lahcène

TI - Little G. T. for lp-lattice summing operators

JO - Serdica Mathematical Journal

PY - 2006

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 32

IS - 1

SP - 39

EP - 56

AB - 2000 Mathematics Subject Classification: 46B28, 47D15.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.

LA - eng

KW - Banach Lattice; Completely Bounded Operator; Convex Operator; lp-lattice Summing Operato; Operator Space; Banach lattice; completely bounded operator; convex operator; -lattice summing operator; operator space

UR - http://eudml.org/doc/281424

ER -

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