5 citations · 8 across the 10 of their papers we have counts for
4 papers · 1 filter
Lattice Lipschitz operators on space
Roger Arnau, Jose M. Calabuig, Enrique A. Sánchez-Pérez
Given a Banach lattice the space of lattice Lipschitz operators on has been introduced as a natural Lipschitz generalization of the linear notions of diagonal operator and…
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…
Equivalent Norms in a Banach Function Space and the Subsequence Property
Jose M. Calabuig, Maite Fernández Unzueta, Fernando Galaz-Fontes +1
Given a finite measure space , we show that any Banach space consisting of (equivalence classes of) real measurable functions defined on such that $f χ_A \in X(…