Little G. T. for lp-lattice summing operators

Mezrag, 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 -