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

• Autorzy: Dan Popovici
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A45: Canonical models for contractions and nonselfadjoint operators
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 47A20: Dilations, extensions, compressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 170
• Numer: 3
• Strony: 297-302

Daty

wydano

2005

Twórcy

autor

Dan Popovici

• Department of Mathematics and Computer Science, University of the West Timişoara, Bd. Vasile Pârvan nr. 4, RO-300223 Timişoara, Romania

Identyfikatory

DOI

10.4064/sm170-3-6