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On linear operators preserving the set of positive polynomials
Dept. of mathematics, Moscow State Univ.
Stockholm University, Faculty of Science, Department of Mathematics.
2008 (Swedish)In: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, ISSN 1661-7738, Vol. 3, no 2, 411-429 p.Article in journal (Refereed) Published
Abstract [en]

Following the classical approach of P´olya-Schur theory [14] we initiate in this paper the study of linear operators acting on R[x] and preserving either the set of positive univariate polynomials or similar sets of non-negative and elliptic polynomials.

Place, publisher, year, edition, pages
2008. Vol. 3, no 2, 411-429 p.
Keyword [en]
Positive; non-negative and elliptic polynomials; linear preservers; Polya-Schur theory
National Category
URN: urn:nbn:se:su:diva-15837DOI: 10.1007/s11784-008-0084-3ISI: 000263027800009OAI: diva2:182357
Available from: 2010-12-31 Created: 2008-12-10 Last updated: 2011-06-20Bibliographically approved

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Shapiro, Boris
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