On linear operators preserving the set of positive polynomials

DOI10.1007/s11784-008-0084-3zbMath1160.12002OpenAlexW2072270593MaRDI QIDQ948493

Boris Zalmanovich Shapiro, Alexander E. Guterman

Publication date: 16 October 2008

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-15837

zbMATH Keywords

linear differential operatorslinear preserversmoment sequencesPólya frequency functions\(\lambda\)-sequencesPólya-Schur theorypositive, non-negative, elliptic polynomials

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Moment problems (44A60) Linear transformations, semilinear transformations (15A04) Real and complex fields (12D99)

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