Geodesic
On $C_{0\cdot }$ multi-contractions having a regular dilation
Dan Popovici1
1Department of Mathematics and Computer Science University of the West Timişoara Bd. Vasile Pârvan nr. 4 RO-300223 Timişoara, Romania
Studia Mathematica, Tome 170 (2005) no. 3, pp. 297-302
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Commuting multi-contractions of class $C_{0\cdot }$ and having a regular isometric dilation are studied. We prove that a polydisc contraction of class $C_{0\cdot }$ is the restriction of a backwards multi-shift to an invariant subspace, extending a particular case of a result by R. E. Curto and F.-H. Vasilescu. A new condition on a commuting multi-operator, which is equivalent to the existence of a regular isometric dilation and improves a recent result of A. Olofsson, is obtained as a consequence.
DOI : 10.4064/sm170-3-6
Keywords: commuting multi contractions class cdot having regular isometric dilation studied prove polydisc contraction class cdot restriction backwards multi shift invariant subspace extending particular result curto h vasilescu condition commuting multi operator which equivalent existence regular isometric dilation improves recent result olofsson obtained consequence

Dan Popovici  1

1 Department of Mathematics and Computer Science University of the West Timişoara Bd. Vasile Pârvan nr. 4 RO-300223 Timişoara, Romania 
@article{10_4064_sm170_3_6,
     author = {Dan Popovici},
     title = {On $C_{0\cdot }$ multi-contractions having a regular dilation},
     journal = {Studia Mathematica},
     pages = {297--302},
     year = {2005},
     volume = {170},
     number = {3},
     doi = {10.4064/sm170-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm170-3-6/}
}
TY  - JOUR
AU  - Dan Popovici
TI  - On $C_{0\cdot }$ multi-contractions having a regular dilation
JO  - Studia Mathematica
PY  - 2005
SP  - 297
EP  - 302
VL  - 170
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm170-3-6/
DO  - 10.4064/sm170-3-6
LA  - en
ID  - 10_4064_sm170_3_6
ER  - 
%0 Journal Article
%A Dan Popovici
%T On $C_{0\cdot }$ multi-contractions having a regular dilation
%J Studia Mathematica
%D 2005
%P 297-302
%V 170
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm170-3-6/
%R 10.4064/sm170-3-6
%G en
%F 10_4064_sm170_3_6
Dan Popovici. On $C_{0\cdot }$ multi-contractions having a regular dilation. Studia Mathematica, Tome 170 (2005) no. 3, pp. 297-302. doi: 10.4064/sm170-3-6

Cité par Sources :