Add to ORKGABSTRACT. 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+, y e X+ then ||x| | < ||x + y\\. (A3) B is a bounded linear operator on X. (A4) BX+ C X+. (A5) Fq is a nonempty compact subset of X and limn—oo dist(_J"x, Fq) = 0 whenever x 6 X+ and ||x| | = 1. Then Bnx is asymptotically periodic for every x 6 X. This, and other properties of B, are proven in the paper. 1. Int...
summary:A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], ...
Introduction. Throughout this paper E denotes a Banach space, C a closed convex subset of E, T: C- •...
AbstractTheorem. Let E and F be Banach spaces, and U: E → F a bounded linear operator. The following...
Abstract. We prove that if P is an ergodic Harris operator, then the se-quence of iterates (Pn)n∈N i...
I herby declare that all information in this document has been obtained and presented in accordance ...
We study persistence of asymptotic properties of a semigroup T ( \ub7) on a Banach space X under s...
We establish an asymptotic formula for general sequences of positive linear operators acting on spa...
Let 1 \u3c q \u3c p \u3c ∞ and q ≤ r ≤ p. Let X be a reflexive Banach space satisfying a lower-ℓq-tr...
AbstractWe prove that if the monodromy operator V of a linear periodic process U(t, τ) in a Banach s...
AbstractThis paper is devoted to the study of the class of continuous and bounded functions f:[0,∞)→...
Abstract. The aim of this paper is to obtain some discrete-time characteriza-tions for the uniform e...
Let (X, parallel to . parallel to) be a Banach space and omega is an element of R. A bounded functio...
This article is devoted to the study of linear periodic dynamical systems, possessing the property o...
Certain properties of the solution u of the equation Pu = v in a Banach space will be investigated. ...
summary:Let $X$ denote a specific space of the class of $X_{\alpha ,p}$ Banach sequence spaces whi...
summary:A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], ...
Introduction. Throughout this paper E denotes a Banach space, C a closed convex subset of E, T: C- •...
AbstractTheorem. Let E and F be Banach spaces, and U: E → F a bounded linear operator. The following...
Abstract. We prove that if P is an ergodic Harris operator, then the se-quence of iterates (Pn)n∈N i...
I herby declare that all information in this document has been obtained and presented in accordance ...
We study persistence of asymptotic properties of a semigroup T ( \ub7) on a Banach space X under s...
We establish an asymptotic formula for general sequences of positive linear operators acting on spa...
Let 1 \u3c q \u3c p \u3c ∞ and q ≤ r ≤ p. Let X be a reflexive Banach space satisfying a lower-ℓq-tr...
AbstractWe prove that if the monodromy operator V of a linear periodic process U(t, τ) in a Banach s...
AbstractThis paper is devoted to the study of the class of continuous and bounded functions f:[0,∞)→...
Abstract. The aim of this paper is to obtain some discrete-time characteriza-tions for the uniform e...
Let (X, parallel to . parallel to) be a Banach space and omega is an element of R. A bounded functio...
This article is devoted to the study of linear periodic dynamical systems, possessing the property o...
Certain properties of the solution u of the equation Pu = v in a Banach space will be investigated. ...
summary:Let $X$ denote a specific space of the class of $X_{\alpha ,p}$ Banach sequence spaces whi...
summary:A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], ...
Introduction. Throughout this paper E denotes a Banach space, C a closed convex subset of E, T: C- •...
AbstractTheorem. Let E and F be Banach spaces, and U: E → F a bounded linear operator. The following...