Total Positivity: an application to positive linear operators and to their limiting semigroups

Antonio Attalienti; Ioan Raşa

doi:10.33993/jnaat361-855

Authors

Antonio Attalienti Department of Economics-University of Bari, Italy
Ioan Raşa Technical University of Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat361-855

Keywords:

weak Tchebycheff systems, total positivity, positive linear operators, strongly continuous semigroups

Abstract views: 301

Abstract

Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8]. The same properties are shown to be fulfilled by the strongly continuous semigroup \((T(t))_{t\geq 0}\), if any, generated by the iterates of the relevant operators, in the spirit of Altomare's theory.

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References

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