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Gabriela Raluca Mocanu (2016)
Annales Polonici Mathematici
Let with a,b ≥ 2. We consider the C₀-semigroups generated by this operator on the spaces of continuous functions, respectively square integrable functions. The connection between these semigroups together with suitable approximation processes is studied. Also, some qualitative and quantitative properties are derived.
Rodica-Mihaela Dăneţ (2011)
Banach Center Publications
The main meaning of the common extension for two linear operators is the following: given two vector subspaces G₁ and G₂ in a vector space (respectively an ordered vector space) E, a Dedekind complete ordered vector space F and two (positive) linear operators T₁: G₁ → F, T₂: G₂ → F, when does a (positive) linear common extension L of T₁, T₂ exist? First, L will be defined on span(G₁ ∪ G₂). In other results, formulated in the line of the Hahn-Banach extension theorem, the common...
Ivo Marek, Daniel B. Szyld (1990/1991)
Numerische Mathematik
Marek Bożejko (1998)
Banach Center Publications
Richard Becker (1994)
Mathematische Zeitschrift
Wojciech Bartoszek (1996)
Annales Polonici Mathematici
We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.
Jacek Jachymski (2009)
Studia Mathematica
Let X be a Banach space and T ∈ L(X), the space of all bounded linear operators on X. We give a list of necessary and sufficient conditions for the uniform stability of T, that is, for the convergence of the sequence of iterates of T in the uniform topology of L(X). In particular, T is uniformly stable iff for some p ∈ ℕ, the restriction of the pth iterate of T to the range of I-T is a Banach contraction. Our proof is elementary: It uses simple facts from linear algebra, and the Banach Contraction...
Michel Talagrand (1992)
Inventiones mathematicae
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