We introduce a sort of semilinear structure on subsets of the family of semigroups defined on a metric space. The key step is the definition of the sum of two semigroups, which is here achieved by means of the classical operator splitting technique. No linearity assumption is required, since the whole construction is in a metric space.
A semilinear structure on semigroups in a metric space
CORLI, Andrea
2004
Abstract
We introduce a sort of semilinear structure on subsets of the family of semigroups defined on a metric space. The key step is the definition of the sum of two semigroups, which is here achieved by means of the classical operator splitting technique. No linearity assumption is required, since the whole construction is in a metric space.File in questo prodotto:
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