Geodesic
Decompositions and asymptotic limit for bicontractions
Marek Kosiek1 ; Laurian Suciu2
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
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 43-64.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $S_{T^*}=S_{T^*}^2$.
DOI : 10.4064/ap105-1-5
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 * *

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. http://geodesic.mathdoc.fr/articles/10.4064/ap105-1-5/

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