6 papers
Lattice Lipschitz superposition operators on Banach function spaces
Roger Arnau, Jose M. Calabuig, Ezgi Erdoğan +1
We analyse and characterise the notion of lattice Lipschitz operator (a class of superposition operators, diagonal Lipschitz maps) when defined between Banach function spaces. Afte…
Approximation of almost diagonal non-linear maps by lattice Lipschitz operators
Roger Arnau, Jose M. Calabuig, Ezgi Erdoğan +1
Lattice Lipschitz operators define a new class of nonlinear Banach-lattice-valued maps that can be written as diagonal functions with respect to a certain basis. In the dimensi…
Optimal domain of -concave operators and vector measure representation of -concave Banach lattices
O. Delgado, E. A. Sanchez Perez
Given a Banach space valued -concave linear operator defined on a -order continuous quasi-Banach function space, we provide a description of the optimal domain of pre…
Optimal extensions for -th power factorable operators
O. Delgado, E. A. Sanchez Perez
Let be a function space related to a measure space with and let be a Banach space valued operator. It is known that if is …
Product spaces generated by bilinear maps and duality
Enrique A. Sanchez-Perez
We analyze a definition of product of Banach spaces that is naturally associated by duality with an abstract notion of space of multiplication operators. This dual relation allows…
The -Daugavet property for function spaces
Enrique A. Sanchez Perez, Dirk Werner
A natural extension of the Daugavet property for -convex Banach function spaces and related classes is analysed. As an application, we extend the arguments given in the setting…