P. Tradacete

activity

20122026

most citedCalderón-Lozanovskii interpolation on quasi-Banach lattices

8 citations · 28 across the 49 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.MG2016

Radial continuous valuations on star bodies and star sets

Pedro Tradacete, Ignacio Villanueva

We show that a radial continuous valuation defined on the $n$ -dimensional star bodies extends uniquely to a continuous valuation on the $n$ -dimensional bounded star sets. Moreover,…

math.FA2016★ 8 cited

Calderón-Lozanovskii interpolation on quasi-Banach lattices

Yves Raynaud, Pedro Tradacete

We consider the Calderón-Lozanovskii construction $φ (X_{0}, X_{1})$ in the context of quasi-Banach lattices and provide an extension of a result by V. I. Ovchinnikov concerning the asso…

math.FA2016

Almost band preservers

Timur Oikhberg, Pedro Tradacete

We study the stability of band preserving operators on Banach lattices. To this end the notion of $ε$ -band preserving mapping is introduced. It is shown that, under quite…

math.MG2016

A Jordan-like decomposition theorem for valuations on star bodies

Pedro Tradacete, Ignacio Villanueva

We show that every radial continuous valuation $V : S_{0}^{n} \to R$ defined on the $n$ -dimensional star bodies $S_{0}^{n}$ , and verifying $V ({0}) = 0$ , can…

math.FA2016

Shellable weakly compact subsets of $C [0, 1]$

J. Lopez-Abad, P. Tradacete

We show that for every weakly compact subset $K$ of $C [0, 1]$ with finite Cantor-Bendixson rank, there is a reflexive Banach lattice $E$ and an operator $T : E \to C [0, 1]$ such…

math.CA2016

Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator

Javier Soria, Pedro Tradacete

We study different geometric properties on infinite graphs, related to the weak-type boundedness of the Hardy-Littlewood maximal averaging operator. In particular, we analyze the c…