1 citations · 1 across the 5 of their papers we have counts for
4 papers
Free complex Banach lattices
David de Hevia, Pedro Tradacete
The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space there is a comp…
Radial continuous valuations on star bodies and star sets
Pedro Tradacete, Ignacio Villanueva
We show that a radial continuous valuation defined on the -dimensional star bodies extends uniquely to a continuous valuation on the -dimensional bounded star sets. Moreover,…
Almost band preservers
Timur Oikhberg, Pedro Tradacete
We study the stability of band preserving operators on Banach lattices. To this end the notion of -band preserving mapping is introduced. It is shown that, under quite…
Bases of random unconditional convergence in Banach spaces
J. Lopez-Abad, P. Tradacete
We study random unconditional convergence for a basis in a Banach space. The connections between this notion and classical unconditionality are explored. In particular, we analyze…