Geodesic
Around the Kato generation theorem for semigroups
Jacek Banasiak1 ; Miros/law Lachowicz2
1School of Mathematical Sciences University of KwaZulu-Natal Durban 4041, South Africa
2Faculty 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

Voir la notice de l'article

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 
@article{10_4064_sm179_3_2,
     author = {Jacek Banasiak and Miros/law Lachowicz},
     title = {Around the {Kato} generation theorem for semigroups},
     journal = {Studia Mathematica},
     pages = {217--238},
     year = {2007},
     volume = {179},
     number = {3},
     doi = {10.4064/sm179-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-2/}
}
TY  - JOUR
AU  - Jacek Banasiak
AU  - Miros/law Lachowicz
TI  - Around the Kato generation theorem for semigroups
JO  - Studia Mathematica
PY  - 2007
SP  - 217
EP  - 238
VL  - 179
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-2/
DO  - 10.4064/sm179-3-2
LA  - en
ID  - 10_4064_sm179_3_2
ER  - 
%0 Journal Article
%A Jacek Banasiak
%A Miros/law Lachowicz
%T Around the Kato generation theorem for semigroups
%J Studia Mathematica
%D 2007
%P 217-238
%V 179
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-2/
%R 10.4064/sm179-3-2
%G en
%F 10_4064_sm179_3_2
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

Cité par Sources :