145 citations · 396 across the 23 of their papers we have counts for
4 papers · 1 filter
Valuations on Banach lattices
Pedro Tradacete, Ignacio Villanueva
We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including $L_p…
Continuity and representation of valuations on star bodies
Pedro Tradacete, Ignacio Villanueva
It is shown that every continuous valuation defined on the -dimensional star bodies has an integral representation in terms of the radial function. Our argument is based on the…
Classical vs. quantum communication in XOR games
Marius Junge, Carlos Palazuelos, Ignacio Villanueva
In this work we introduce an intermediate setting between quantum nonlocality and communication complexity problems. More precisely, we study the value of XOR games when Alice…
Tingley's problem for spaces of trace class operators
Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta +1
We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry bet…