The iterates of positive linear operators preserving constants
نویسندگان
چکیده
منابع مشابه
Asymptotic Behaviour of the Iterates of Positive Linear Operators
and Applied Analysis 3 then lim k Uf Lf, ∀f ∈ C X . 3.2 Moreover, if X is a compact metric space, then the convergence is uniform. Proof. Let f ∈ C X . The case when Lf f is trivial. Indeed, in this case, since Lf ∈ V andU preserves the elements of V, we haveUf ULf Lf , and hence Uf Lf , k 1, 2, . . . . If Lf / f , for sufficiently small ε > 0, the inverse image of the open set −ε, ε under the ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.05.044