Classifications of linear operators preserving elliptic, positive and non-negative polynomials

DOI10.1515/CRELLE.2011.003zbMath1215.47030arXiv0811.4374MaRDI QIDQ3081157

Julius Borcea

Publication date: 11 March 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4374

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials and rational functions of one complex variable (30C10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Representation and approximation of positivity preservers

Cites Work

• Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
• On the Momentum Problem for Distribution Functions in More than One Dimension

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