Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (1050 KB) | Metadata | Table of Contents | ZAA summary
Published online: 1996-03-31
Contractive Intertwining Dilations of Quasi-ContractionsAurelian Gheondea (1) Bilkent University, Bilkent, Ankara, Turkey
We prove that quasi-contractions in Krein spaces always have contractive intertwining dilations. This result covers many of the known lifting of commutant theorems in both Hilbert and Krein spaces. The approach is an adaptation of the angular operator method and uses the existence of invariant maximal non-negative subspaces for certain operators.
Keywords: Contractive intertwining dilations, lifting of commutants, Krein spaces, W-spaces, quasi-contractions, angular operators
Gheondea Aurelian: Contractive Intertwining Dilations of Quasi-Contractions. Z. Anal. Anwend. 15 (1996), 31-44. doi: 10.4171/ZAA/686