On $C_{0·}$ multi-contractions having a regular dilation

Dan Popovici. "On $C_{0·}$ multi-contractions having a regular dilation." Studia Mathematica 170.3 (2005): 297-302. <http://eudml.org/doc/285291>.

@article{DanPopovici2005,
abstract = {Commuting multi-contractions of class $C_\{0·\}$ and having a regular isometric dilation are studied. We prove that a polydisc contraction of class $C_\{0·\}$ 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.},
author = {Dan Popovici},
journal = {Studia Mathematica},
keywords = {regular isometric dilation; commuting multi-contraction; polydisc contraction; class },
language = {eng},
number = {3},
pages = {297-302},
title = {On $C_\{0·\}$ multi-contractions having a regular dilation},
url = {http://eudml.org/doc/285291},
volume = {170},
year = {2005},
}

TY - JOUR
AU - Dan Popovici
TI - On $C_{0·}$ multi-contractions having a regular dilation
JO - Studia Mathematica
PY - 2005
VL - 170
IS - 3
SP - 297
EP - 302
AB - Commuting multi-contractions of class $C_{0·}$ and having a regular isometric dilation are studied. We prove that a polydisc contraction of class $C_{0·}$ 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.
LA - eng
KW - regular isometric dilation; commuting multi-contraction; polydisc contraction; class 
UR - http://eudml.org/doc/285291
ER -