Geodesic
Analytic semigroups on vector valued noncommutative $L^p$-spaces
Cédric Arhancet1
1 Laboratoire de Mathématiques Universitéde Franche-Comté 25 030 Besançon Cedex, France
Studia Mathematica, Tome 216 (2013) no. 3, pp. 271-290

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give sufficient conditions on an operator space $E$ and on a semigroup of operators on a von Neumann algebra $M$ to obtain a bounded analytic or $R$-analytic semigroup $(T_t \otimes \mathrm {Id}_E)_{t \geq 0}$ on the vector valued noncommutative $L^p$-space $L^p(M,E)$. Moreover, we give applications to the $H^\infty (\varSigma _\theta )$ functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.
DOI : 10.4064/sm216-3-5
Keywords: sufficient conditions operator space semigroup operators von neumann algebra obtain bounded analytic r analytic semigroup otimes mathrm geq vector valued noncommutative p space e moreover applications infty varsigma theta functional calculus generators these semigroups generalizing earlier work nbsp junge nbsp nbsp merdy nbsp

Cédric Arhancet 1

1 Laboratoire de Mathématiques Universitéde Franche-Comté 25 030 Besançon Cedex, France 
@article{10_4064_sm216_3_5,
     author = {C\'edric Arhancet},
     title = {Analytic semigroups on vector valued
 noncommutative $L^p$-spaces},
     journal = {Studia Mathematica},
     pages = {271--290},
     publisher = {mathdoc},
     volume = {216},
     number = {3},
     year = {2013},
     doi = {10.4064/sm216-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm216-3-5/}
}
TY  - JOUR
AU  - Cédric Arhancet
TI  - Analytic semigroups on vector valued
 noncommutative $L^p$-spaces
JO  - Studia Mathematica
PY  - 2013
SP  - 271
EP  - 290
VL  - 216
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm216-3-5/
DO  - 10.4064/sm216-3-5
LA  - en
ID  - 10_4064_sm216_3_5
ER  - 
%0 Journal Article
%A Cédric Arhancet
%T Analytic semigroups on vector valued
 noncommutative $L^p$-spaces
%J Studia Mathematica
%D 2013
%P 271-290
%V 216
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm216-3-5/
%R 10.4064/sm216-3-5
%G en
%F 10_4064_sm216_3_5
Cédric Arhancet. Analytic semigroups on vector valued
 noncommutative $L^p$-spaces. Studia Mathematica, Tome 216 (2013) no. 3, pp. 271-290. doi: 10.4064/sm216-3-5

Cité par Sources :