4 citations · 12 across the 36 of their papers we have counts for
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A Godefroy-Kalton principle for free Banach lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1
Motivated by the Lipschitz-lifting property of Banach spaces introduced by Godefroy and Kalton, we consider the lattice-lifting property, which is an analogous notion within the ca…
Amalgamation and injectivity in Banach lattices
Antonio Avilés, Pedro Tradacete
We study distinguished objects in the category of Banach lattices and lattice homomorphisms. The free Banach lattice construction introduced by de Pagter and Wickste…
Invariant subspaces for positive operators on Banach spaces with unconditional basis
Eva A. Gallardo-Gutiérrez, Javier González-Doña, Pedro Tradacete
We prove that every lattice homomorphism acting on a Banach space with the lattice structure given by an unconditional basis has a non-trivial closed invariant subspa…
Strictly singular non-compact operators between spaces
Francisco L. Hernández, Evgeny M. Semenov, Pedro Tradacete
We study the structure of strictly singular non-compact operators between spaces. Answering a question raised in [Adv. Math. 316 (2017), 667-690], it is shown that there exis…