Artículo
Strong Factorizations between Couples of Operators on Banach Function Spaces
Autor/es | Delgado Garrido, Olvido
Sánchez Pérez, E. A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2013 |
Fecha de depósito | 2021-01-20 |
Publicado en |
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Resumen | Let T : X1 → Y1 and S : X2 → Y2 be two continuous linear operators between Banach function
spaces related to a finite measure space. Under some lattice requirements on the spaces involved,
we give characterizations by ... Let T : X1 → Y1 and S : X2 → Y2 be two continuous linear operators between Banach function spaces related to a finite measure space. Under some lattice requirements on the spaces involved, we give characterizations by means of inequalities of when T can be strongly factorized through S, that is, T = Mg ◦ S ◦Mf with Mf : X1 → X2 and Mg : Y2 → Y1 being multiplication operators defined by some measurable functions f and g. In particular, we study the cases when S is a composition operator or a kernel operator. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | MTM2012-36732-C03-03
FQM-262 FQM-4643 |
Cita | Delgado Garrido, O. y Sánchez Pérez, E.A. (2013). Strong Factorizations between Couples of Operators on Banach Function Spaces. Journal of Convex Analysis, 20 (3), 599-616. |
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