Around the Kato generation theorem for semigroups

• Autorzy: Jacek Banasiak , Mirosław Lachowicz
• Języki publikacji: EN

Abstrakty

EN

We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 34G10: Linear equations
• 47B60: Operators on ordered spaces
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 3
• Strony: 217-238

Daty

wydano

2007

Twórcy

autor

Jacek Banasiak

• School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041, South Africa

autor

Mirosław Lachowicz

• Faculty of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm179-3-2