A Note on Positivity Preservers

نویسنده

  • ALEXANDER GUTERMAN
چکیده

In this short follow-up of [3] we answer some questions posed there. In particular, we characterize two natural classes of linear operators acting on R[x1, x2, ..., xn] which (i) preserve the set of positive n-variate polynomials; (ii) either act diagonally in the monomial basis of R[x1, x2, ..., xn] or are translation-invariant.

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تاریخ انتشار 2009