The Australian Journal of Mathematical Analysis and Applications

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Paper's Title:

Extension of Factorization Theorems of Maurey to s-positively Homogeneous Operators


Abdelmoumen Tiaiba

Department of Physics,
University of M'sila,


In the present work, we prove that the class of s-positively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a s-positively homogeneous operator from X a Banach space into Lp. Where we establish necessary and sufficient conditions to proof that T factors through Lq. After this we give extend result of dual factorization theorem to same class of operators above.

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