Conference Agenda
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Daily Overview |
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RAG1: Real Algebraic Geometry Location: M627 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
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K-Positivity Preserver and their Generators University of Konstanz, Germany In this talk we classify linear operators on polynomials which preserve non-negativity of polynomials on any given closed subset of Rn. Desprite the purely algebraic formulation of this question, we show that moments as a functional analytic tool solve this questions. Additionally, we introduce the concept of generators of linear operators on polynomials, i.e., we treat evolution equations on polynomials. We classify all generators of linear operators on polynomials and show that this is larger as a regular Fréchet Lie algebra. We classify a large group of operator algebras in the set of generators. We give a resolvent characterization of generators of K-positity preserving semi-groups for any closed set K in Rn. This is jount work with Konrad Schmüdgen and Lars-Luca Langer. | |
