210 citations · 464 across the 57 of their papers we have counts for
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Dilation theory in finite dimensions and matrix convexity
Michael Hartz, Martino Lupini
We establish a finite-dimensional version of the Arveson-Stinespring dilation theorem for unital completely positive maps on operator systems. This result can be seen as a general…
The Ramsey properties for Grassmannians over ,
Dana Bartošová, Jordi Lopez-Abad, Martino Lupini +1
In this note we study and obtain factorization theorems for colorings of matrices and Grassmannians over and , which can be considered metric versions of…
Definable (co)homology, pro-torus rigidity, and (co)homological classification
Jeffrey Bergfalk, Martino Lupini, Aristotelis Panagiotopoulos
We show that the classical homology theory of Steenrod may be enriched with descriptive set-theoretic information. We prove that the resulting definable homology theory provides a…
On Rado conditions for nonlinear Diophantine equations
Jordan Mitchell Barrett, Martino Lupini, Joel Moreira
Building on previous work of Di Nasso and Luperi Baglini, we provide general necessary conditions for a Diophantine equation to be partition regular. These conditions are inspired…