IJPAM: Volume 82, No. 1 (2013)
Departamento de Ciencias, Escuela de Matemáticas
Universidad Nacional ``Santiago Antunez de Mayolo"
Ciudad Universitária de Shancayán
Avenida Centenario 100, Huaraz, PERU
Abstract. This work demostrate the equivalence of the following definitions ``let is called factorable, if exist a measure space and operators and such that .
The collection of the -factorable multi-linear operators of to will be denoted for . Also , where the infimun is taken over all possible factorzation of is a norm over , '' and ``let .
is called -factorable relative to
if belongs to the normed ideal:
such that , with norm
where the supremun is taken on all the with and such that , ''.
Received: April 17, 2012
AMS Subject Classification: 47H60, 46G25, 47L20
Key Words and Phrases: multi-linear operators, Banach spaces, operator ideals
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395