Generators and co-generators of substitution semigroups
Abstract
In this note we give the form of generators and co-generators of semigroups of „substitution operators” in Banach space C([a,b]). We also establish some properties of these operators related to Schröder equation.
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2. B.Sz. Nagy, C. Foiaş, Harmonic analysis of operators on Hilbert space, North Holland Amsterdam-London and Akadémiai Kiadó Budapest 1970.
3. Gy. Targoński, Problem: Infinitesimal generators and co-generators of iteration groups, Aequationes Math. 11 (1974), 314.
4. K. Yosida, Functional analysis. Springer, Berlin, Heidelberg, New York 1974.
5. M.C. Zdun, Differentiable fractional iteration, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977), 643-646.
6. M.C. Zdun, Continuous and differentiable iteration semigroups, Prace Naukowe UŚ nr 308 (1979).
TargońskiG., & ZdunM. C. (1985). Generators and co-generators of substitution semigroups. Annales Mathematicae Silesianae, 1, 169-174. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14348
Győrgy Targoński
Marek Cezary Zdun
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
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