Little G. T. for lp-lattice summing operators


Autoria(s): Mezrag, Lahcène
Data(s)

20/07/2016

20/07/2016

2006

Resumo

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.

Identificador

Serdica Mathematical Journal, Vol. 32, No 1, (2006), 39p-56p

1310-6600

http://hdl.handle.net/10525/2502

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Banach Lattice #Completely Bounded Operator #Convex Operator #lp-lattice Summing Operato #Operator Space
Tipo

Article