[EN] Let (X,d) be a pointed metric space. Let T : X ¿ Y1(µ) and S : X ¿ Y2(µ) be two Lipschitz operators into two Banach function spaces Y1 and Y2 over the same finite measure µ. We show which are the vector norm inequalities ...

[EN] Let X Y and Z be Banach function spaces over a measure space . Consider the spaces of multiplication operators from X into the Kothe dual Y' of Y, and the spaces X (Z) and defined in the same way. In this paper we ...

Bonet Solves, José Antonio; Jorda Mora, Enrique; Rodríguez-Arenas, Alberto(Springer-Verlag, 2018)

[EN] Multiplication operators on weighted Banach spaces and locally convex spaces of continuous functions have been thoroughly studied. In this note, we characterize when continuous multiplication operators on a weighted ...

Let X be a Banach space and E an order continuous Banach function space over a finite measure mu. We prove that an operator T in the Kothe-Bochner space E(X) is a multiplication operator (by a function in L(infinity)(mu)) ...

Sánchez Pérez, Enrique Alfonso(Akademie věd České republiky, Matematický ústav, 2015)

In this paper we analyse a definition of a product of Banach spaces that
is naturally associated by duality with a space of operators that can be considered as
a generalization of the notion of space of multiplication ...