1Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland 2Department of Mathematics “Lucian Blaga” University of Sibiu Dr. Ion Ratiu 5-7 Sibiu 550012, Romania
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 43-64
The asymptotic limit of a bicontraction $T$ (that is, a pair of
commuting contractions) on a Hilbert space $\mathcal{H}$ is used to describe a
Nagy–Foiaş–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 $S_{T^*}=S_{T^*}^2$.
Keywords:
asymptotic limit bicontraction pair commuting contractions hilbert space mathcal describe nagy foia langer type decomposition decomposition refined asymptotic limit orthogonal projection bicontraction consisting hyponormal even quasinormal contractions considered where have * *
Affiliations des auteurs :
Marek Kosiek
1
;
Laurian Suciu
2
1
Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
2
Department of Mathematics “Lucian Blaga” University of Sibiu Dr. Ion Ratiu 5-7 Sibiu 550012, Romania
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Marek Kosiek; Laurian Suciu. Decompositions and asymptotic limit for bicontractions. Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 43-64. doi: 10.4064/ap105-1-5
