6533b7d5fe1ef96bd12648f4
RESEARCH PRODUCT
Decompositions and asymptotic limit for bicontractions
Laurian SuciuMarek Kosieksubject
Mathematics::Functional Analysissymbols.namesakeMathematics::Operator AlgebrasGeneral MathematicsMathematical analysisOrthographic projectionHilbert spacesymbolsLimit (mathematics)Mathematics::Spectral TheoryType (model theory)Mathematicsdescription
The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space H is used to describe a Nagy–Foias–Langer type decomposition of T. This decomposition is refined in the case when the asymptotic limit of T is an orthogonal projection. The case of a bicontraction T consisting of hyponormal (even quasinormal) contractions is also considered, where we have ST∗=S2T∗.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |