2017 | OriginalPaper | Buchkapitel
Banach Lattices and Positive Operators
verfasst von : András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
Erschienen in: Positive Operator Semigroups
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In the remaining chapters we shall try to extend the theory of positive matrices to infinite-dimensional spaces. One of the first questions is how to generalize concepts like positivity of vectors, or positivity, irreducibility, and imprimitivity of matrices. We have tried to have an abstract look at the finite-dimensional case, to motivate infinite-dimensional concepts. Still, the transition from finite to infinite dimensions is not easy.