Delgado Garrido, OlvidoSánchez Pérez, E. A.2021-01-152021-01-152010Delgado Garrido, O. y Sánchez Pérez, E.A. (2010). Summability Properties for Multiplication Operators on Banach Function Spaces. Integral Equations and Operator Theory, 66 (2), 197-214.0378-620Xhttps://hdl.handle.net/11441/103774Consider a couple of Banach function spaces X and Y over the same measure space and the space XY of multiplication operators from X into Y . In this paper we develop the setting for characterizing certain summability properties satisfied by the elements of XY . At this end, using the “generalized K¨othe duality” for Banach function spaces, we introduce a new class of norms for spaces consisting of infinite sums of products of the type xy with x ∈ X and y ∈ Y .application/pdf17engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Banach function spaceKöthe dual and generalized dual spacesProduct spacesMultiplication operatorsSummability propertiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s00020-010-1741-7