Listar Departamento de Matemáticas y Estadística por autor "Pinasco, Damián"

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    • Farkas’ Lemma in the bilinear setting and evaluation functionals 

      Zalduendo, Ignacio; Aron, Richard; García, Domingo; Pinasco, Damián (Real Academia de Ciencias Exactas, Físicas y Naturales, 2023)
      We prove the following Farkas’ Lemma for simultaneously diagonalizable bilinear forms: If A1, . . . , Ak, and B : Rn × Rn → R are bilinear forms, then one—and only one—of the following holds: (i) B = a1A1 +· · ·+ak Ak ...

    • On the n−th linear polarization constant of Rn 

      Pinasco, Damián (Mathematische Nachrichten, 2023)
      Abstract. We prove that given any set of n unit vectors {vi}n i=1 ⊂ Rn, the inequality sup kxkRn=1 |hx, v1i · · · hx, vni| ≥ n−n/2 holds for n ≤ 14. Moreover, the equality is attained if and only if {vi}n i=1 is an ...