Generalized necessary scaling condition and stability of chemical reactors with several educts

We present, for a class of industrially relevant chemical reactions with two educts the dependence of stability on important chemical parameters, such as coolant, dilution and diffusion rates. The main analytical tools are generalized upscaling balance condition for the equilibria concentrations and spectral properties of corresponding operators. Although we illustrate the stability analysis for a model reactor (2 educts, E1 and E2), it should be emphasized that our approach is applicable to more complex reaction mechanisms

On α-amenability of commutative hypergroups

We study the concept of α-amenability of commutative hypergroups K. We establish several characterizations of α-amenability by combining results of [1] and [2] and adding the Glicksberg-Reiter property. In addition, as examples compact K and discrete polynomial hypergroups on N0 are discussed

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Discrete commutative hypergroup

Point Derivations on the l 1-Algebra of Polynomial

Polynomial hypergroups are a very interesting class of hypergroups with a great variety of examples which are quite different from groups. So the L 1-algebras of hypergroups have properties very distinguished to the L 1-algebras of groups, in particular in the context of amenability and related conditions. Being amenable the L 1-algebr