On semigroups with an infinitesimal operator

• Autorzy: Jolanta Olko
• Języki publikacji: EN

Abstrakty

EN

Let ${F^{t}: t ≥ 0}$ be an iteration semigroup of linear continuous set-valued functions. If the semigroup has an infinitesimal operator then it is a uniformly continuous semigroup majorized by an exponential semigroup. Moreover, for sufficiently small t every linear selection of $F^{t}$ is invertible and there exists an exponential semigroup ${f^{t}:t ≥ 0}$ of linear continuous selections $f^{t}$ of $F^{t}$.

Kategorie tematyczne

• 54C60: Set-valued maps
• 39B12: Iteration theory, iterative and composite equations
• 54C65: Selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 85
• Numer: 1
• Strony: 77-89

Daty

wydano

2005

Twórcy

autor

Jolanta Olko

• Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/ap85-1-6