On the composition and decomposition of positive linear operators (V)
The present note supplements information contained in three earlier papers with the same title. Here the authors consider certain aspects of (in)decomposability of positive linear operators given on \(C(X)\) where \(X\) is a compact convex metrizable subset of a topological vector space which is locally convex and Hausdorff. For Part I-III, see [the first author, in: Teoriya nablyzhennya funktsij ta ïï zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 161--180 (2000; Zbl 1033.47027); the authors, Stud. Sci. Math. Hung. 47, No. 4, 448--461 (2010; Zbl 1240.41004); the first author et. al, ``On the composition and decomposition of positive linear operators. III: A non-trivial decomposition of the Bernstein operator'', Preprint, \url{arXiv:1204.2723}].
scientific article; zbMATH DE number 6814093
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