Semigroups Associated to Mache Operators

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 142)


Mache operators are investigated from the point of view of Altomare’s theory. We prove the existence of a Feller semigroup representable as a limit of suitable iterates of Mache operators. The preservation properties of Mache operators lead to qualitative properties of the solution of the associated Cauchy problem. A new Chernoff type approach to the semigroup is presented, as well as quantitative results related to it.


Bernstein Operator Preservation Property Fell Semigroup Limit Semigroup Positive Contraction 
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© Birkhäuser Verlag Basel 2002

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  • I. Rasa

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