Geodesic
Around the Kato generation theorem for semigroups
Jacek Banasiak 1   ; Miros/law Lachowicz 2
1 School of Mathematical Sciences University of KwaZulu-Natal Durban 4041, South Africa
2 Faculty of Mathematics, Informatics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 179 (2007) no. 3, pp. 217-238 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in $l_1$ 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.
DOI : 10.4064/sm179-3-2
Keywords: result kato existence semigroup solving kolmogorov system equations generalized larger class so called kantorovich banach spaces present number related generation results proved using positivity methods examples

Jacek Banasiak  1   ; Miros/law Lachowicz  2

1 School of Mathematical Sciences University of KwaZulu-Natal Durban 4041, South Africa
2 Faculty of Mathematics, Informatics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Jacek Banasiak; Miros/law Lachowicz. Around the Kato generation theorem for semigroups. Studia Mathematica, Tome 179 (2007) no. 3, pp. 217-238. doi: 10.4064/sm179-3-2

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