Asymptotic properties of iterates of certain positive linear operators
نویسندگان
چکیده
منابع مشابه
Asymptotic behaviour of iterates of positive linear operators
We investigate the iterates of positive linear operators on C[0, 1] which preserve the linear functions, and the asymptotic behaviour of the associated semigroup. The general results are applied to the Bernstein-Schnabl operators on the unit interval.
متن کاملAsymptotic 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 ...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولAsymptotic Periodicity of the Iterates of Positivity Preserving Operators
Assume that (AI) X is a real Banach space. (A2) X+ is a closed subset of X with the following properties: (i) if xe X+, y € X+, a e [0, oo) then x + y & X+ and ax € X+; (ii) there exists Mo € (0, oo) such that for each x € X there exist x+ e X+ and x_ 6 X+ which satisfy _=_+-__, ||_+|| < Mo||x||, ||x_||<Mo||x|| and if x = j/+ — j/_ for some y+ 6 X+, j/_ _ X+ then y+ — x.|6 X+; (iii) if x e X+, ...
متن کاملSome Properties of Fuzzy Norm of Linear Operators
In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2013
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2012.12.009