8 citations · 28 across the 49 of their papers we have counts for
6 papers · 1 filter
Banach lattice AM-algebras
David Muñoz-Lahoz, Pedro Tradacete
An analogue of Kakutani's representation theorem for Banach lattice algebras is provided. We characterize Banach lattice algebras that embed as a closed sublattice-algebra of $C(K)…
Coordinate systems in Banach spaces and lattices
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding differen…
Extremes of interpolation scales of Banach spaces
Willian Corrêa, Valentin Ferenczi, Rafela Gesing +1
M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the va…
Banach lattices of positively homogeneous functions induced by a Banach space
Niels Jakob Laustsen, Pedro Tradacete
Motivated by the construction of the free Banach lattice generated by a Banach space, we introduce and study several vector and Banach lattices of positively homogeneous functions…
Banach lattices with upper -estimates: free and injective objects
E. García-Sánchez, D. H. Leung, M. A. Taylor +1
We study the free Banach lattice with upper -estimates generated by a Banach space . Using a classical result of Pisier on factorization through $L^{p,\…
The strong Nakano property in Banach lattices
Youssef Azouzi, Asma Ben Rjeb, Pedro Tradacete
We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space , the free Banach lat…